calculus 2

Daniel Kevins

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(1 pt)

Evaluate the following limit:

$lim_{ x rightarrow 1 } frac{x^{6} - 1}{x^{8} - 1}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

2

Evaluate the following limit:

$lim_{ x rightarrow 0 } frac{e^{x}-1}{sin(3 x)}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

[removed][removed]

3

Evaluate the following limit:

$lim_{ x rightarrow 0 } frac{sin(2 x)}{x^{9}}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

4

Evaluate the following limit:

$lim_{ x rightarrow 0 } left(frac{1}{x^{4}} - frac{5}{x^{2}}right).$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

5
Evaluate the following limit:

$lim_{ x rightarrow 0 } (1 - 7 x)^{frac{3}{x}}$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

6

Evaluate the following limit:

$lim_{ x rightarrow infty } frac{ln(4 x + 4)}{4 x + 2}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limi

7
Evaluate the following limit:

$lim_{ x rightarrow infty } frac{e^{(3 x)}}{x^{6}}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

8
Evaluate the following limit:

$lim_{ x rightarrow infty } frac{3 x + 3}{ln(2 + 2 e^{x})}.$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

9
Evaluate the following limit:

$lim_{ x rightarrow 0^{+} } sqrt{x} ln(3 x).$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

10
Evaluate the following limit:

$lim_{ x rightarrow infty } 8 x e^{1/x}-8 x$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

11

Evaluate the following limit:

$lim_{ x rightarrow infty } left(1+frac{2}{x}right)^{x/6}$

Enter -I if your answer is , enter I if your answer is , and enter DNE if the limit does not exist.

Limit = [removed]

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Daniel Kevins

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