calculus 2

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


Limit = [removed]

 

 

    • 11 years ago
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