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JulsSmile [24]
3 years ago
15

The limit as h approaches 0 of (e^(2+h)-e^2)/h is ?

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h

</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
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Step-by-step explanation:

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3 years ago
Find the next terms of the arithmetic sequence -25,-22,-19,-16,....
romanna [79]
3 is being added each time, so:

-25,-22,-19,-16,-13,-10,-7,-4,-1,2,5,8

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7 0
3 years ago
According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use
Alexxandr [17]

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

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7 0
3 years ago
the system of equations is graphed on the coordinate plane y=-1/2x-1 and y=1/4x-4 enter the coordinates of the solution to the s
pochemuha

Answer:

The coordinates are ( 4, -3).

Step-by-step explanation:

We can find the coordinates by solving the 2 equations

y =  1/4x-4

y = -1/2x-1

As both left sides of the equation are y we can say:

-1/2x-1 = 1/4x-4

-1/2x - 1/4x = -4 + 1

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x = -3 * -4/3

x = 4.

- and y = 1/4(4) - 4 = -3.

7 0
3 years ago
Read 2 more answers
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