Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 x 8x 8x − 1

Answers

Answer 1

Answer:

1/log8

Step-by-step explanation:

Given the limit of the function

Lim x → 0 x•8^x/8^x − 1

Plug in the value of x

= 0•8^0/8^0-1

= 0(1)/1-1

= 0/0 (indeterminate)

Apply l'hosipitals rule:

Lim x → 0 d/dx(x•8^x)/d/dx(8^x − 1)

= Lim x → 0 (x•8^xlog8+1(8^x))/8^xlog8

Plug in the value of x:

= 0•8^0log8+8^0/8^0log8

= 0•1(log8)+1/1•log8

= 0(log8)+1/log8

= 0+1/log8

= 1/log8

Hence the limit of the function is 1/log8


Related Questions

Aulani was working and conpleted 40% of her 50 question assignment. How many questions did Aulani complete?​

Answers

Answer:

20 questions

Step-by-step explanation:

First find 10% dividing by 10

50 / 10 = 5

Now multiply by 4 to get 40%

5 x 4 = 20

So Aulani completed 20 questions.

hope this helps :)

Answer:

She completed 20 questions.

Step-by-step explanation:

Examine the diagram.
The mZ1 is
the 63° angle.
What is the measure of angle 1?
v degrees
1
63°

Answers

Answer:

1. the supplement of

2. 117

Step-by-step explanation:

got it right

Answer:

The m∠1 is

the supplement of

the 63° angle.

What is the measure of angle 1?

117

degrees

What is the place value of 7 in 74,310,892?

Answers

Answer:

10 million place

Please help me I don’t know y but it’s hard

Answers

Answer:

6

Step-by-step explanation:

hope this helps

1 sorry ceds to the person who commented under me

Lucy says that the product of 80 ×50 should have two zeros. brock says the product should have three Zeros.​

Answers

3 zeros it’s 4000 so lol

Given that a = 24 cm and b = 7 cm, work out x

Answers

x = 25cm , i used pythagoras theorem to calculate this, 7^2 + 24^2 = 625, the square root of 625 = 25

HELP ASAPPPPPP pls solve step by step!!!

Answers

Answer:

X=18

Step-by-step explanation:

6x=108

swap sides

6x/6

108/6

divide each side by 6

x=18

What is four hundred and nineteen ten thousandths in a decimal​

Answers

Answer:

419/1000 = 0.0419

Hope this helps!

(14-27 divided by 3) x 3​

Answers

Answer:

-13

Step-by-step explanation:

{(14-27)/3}×3

-13/3×3=-13

YOUR ANSWER IS -13!!

7 1/2 divided by 5/6

Answers

Answer:

(7 1/2 / 5) / 6 = 0.25

Step-by-step explanation:

(7 1/2) \ (5/6)= 9
7 1/2= 45/6, 5/6= 6/5
45/6 x 6/5= 9
hope this helps ^^

a letter or symbol that is used to represent a number is called

Answers

Answer:

variable. a variable is like the x in 3x and it represents a numbe

Step-by-step explanation:

Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother . How tall is leon?

Answers

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft

Answer:

4 3/4 - 1/3 = 4 5/12

Step-by-step explanation:

4 9/12 - 4/12 = 4 5/12

Yooo help. I attached a pic of the question

Answers

Answer:

will it will be D because That the y - intercept

{x/x es un número primo par}​

Answers

Siiiii, Se conoce como número primo a cada número natural que sólo puede dividirse por 1 y por sí mismo. ... Como el único número primo par es 2, suele citarse como número primo impar a cualquier número primo que sea más grande que éste.

Y-intercept for y=2(x-3)^2+4

Answers

Answer:

The y-intercept for this equation is 22.

Step-by-step explanation:

You can solve this quite easily by assigning a zero value to x and solving for y.  That is where the curve will intersect the x-axis:

y = 2(x - 3)² + 4

y = 2(x² - 6x + 9) + 4

y = 2x² - 12x + 18 + 4

y = 2x² - 12x + 22

EDIT

Note that the expression above is in standard form, though it can also be factored if needed:

y = 2(x² - 6x + 11)

Now we can solve for an x value of zero:

y = 2(0)² - 12(0) + 22

y = 22

So the y-intercept is 22.

Write an expression for the sequence of operations described below.
raise 2 to the 5th power, then find the product of the result and w
Do not simplify any part of the expression.

Answers

Answer:

2x2x2x2x2, 32

Step-by-step explanation:

Basically just multiplying 2 by itself 5 times.

2x2=4

2x2x2=8

2x2x2x2=16

2x2x2x2x2=32

The table shows locations on a map. Place Location park (–2, 2) farmers market (–2, –3) post office (2, 2) bus stop (6, –3) Which places on the map are 4 units apart? the park and the farmer’s market the farmers market and the bus stop the post office and the park the post office and the bus stop

Answers

Answer:

B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

Answers

Answer:

11 because i fed you mom and eat her boot

Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years?

Answers

Answer:

£21,552.13

Step-by-step explanation:

A = P(1 + rt)

P = £18790

r = 0.049 (rate in percent form)

t = 3 years

A = £18790(1 + (0.049)(3))

A = £18790(1 + 0.147)

A = £18790(1.147)

A = £21,552.13

Find the discount on a pair of jeans that originally cost $35 with 20% off coupon

Answers

Answer:

I think it's $28

should be $28. the 20% would save you $7.00

Please help me with problems one through four and show work. (Preferably on paper)

Answers

Step-by-step explanation:

I hope you can understand my steps and hope you all the best in matematic. There are various type of calculation, i try my best to do in easy way

A florist just received a shipment of 1308 roses. How many bouquets of a dozen roses can the florist make using the shipment of roses?

Answers

Answer: 109

Step-by-step explanation:

1308 divided by 12 = 109

Answer:

109

Step-by-step explanation:

1,308 divided by 12 equals 109

Need ASAP. Only answer if ur confident in ur answer

Answers

84 because I said so

Answer:

360 m²

Step-by-step explanation:

surface area = 2(12)9 + 12²

                     = 216 + 144

                     = 360 m²

Calculate the area of trapezium CDEF:)
In the diagram shown
. CDEF is a trapezium
.ABCF is a rectangle
. BD = 9cm
.AB = 6cm
.EF = 3cm
Perimeter of ABCF = 20cm

Answers

Answer:

6+6=12

20-12 = 8

8/2 = 4

BC = 4 cm

9 - 4 = 5

CD = 5

5 + 3 = 8

8/2 = 4

4 X 6 = 24

cake batter poured into a pan creates a circular batter pattern whose radius increases at a constant rate of 1 in/sec. at what rate is the total batter area increasing at the end of 4 second

Answers

Answer:

8 π .

Step-by-step explanation:

radius increases at a constant rate of 1 in/sec.

dr / dt = 1

where r is radius .

radius after 4 sec

r = 1 x 4 = 4 in

area A = π r²

differentiating both sides

dA / dt = 2 π r dr / dt

Putting dr / dt  = 1 , r = 4 in

dA / dt = 2 π x 4 x 1

= 8 π sq in per sec.

Area increases at the rate of 8 π per sec.

The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find
the length and the width.

Answers

Answer:

27 yards 123 lenght..think answer is this

Answer: L is 123 and W is 27

Step-by-step explanation:

Just did it

5 beetles out of 45 insects.
1:9 is the answer

Answers

Answer:

I suppose that this question is about ratios.

When we have A elements of one type, for every B elements of another type.

The ratio between these elements is A:B

In this particular case, we have:

5 beetles out of 45 insects (the 5 beetles do not belong to the group of 45 insects, if that where the case, we would not get the value 1:9 seen in the question)

Then there are 5 beetles and 45 insects.

The ratio is 5:45

Now, whit those we can divide both numbers by the same number and the ratio will be the same, then if we divide both by 5, we get:

(5/5):(45/5)

1:9

PLEASE HELP!! WILL MARK BRAINLY

Answers

Answer:

arc length = 84.82 cm

Step-by-step explanation:

arc length = 36 * 3π/4

arc length = 3π * 9

arc length = 84.82 cm

Hope this helps!

What is the slope of line j?

Answers

Answer:

45 degrees glad to Help would like brainliest

Step-by-step explanation:

The total cost of a $83.15 meal after a 20% tip​

Answers

Answer: $99.78

Step-by-step explanation:

If am being honest I just copied the other person :)

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