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Calc 1 3.7

 

<== Calculus 1
Number Question Answer
See the work
1.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches inf (e^x-1)/sin(3x)

1/3
The work

Point Cost: 1
2.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches 0 sin(6x)/sin(7x)

0.857142857142857
The work

Point Cost: 1
3.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches inf 13lnx/x

0
The work

Point Cost: 1
4.

Evaluate the limit using L’Hopital’s rule

lim as x approaches inf (6x^2)/e^(5x)

0
The work

Point Cost: 1
5.

Evaluate the limit using L’Hopital’s rule

lim as x approaches 0 (e^x+3x-1)/(2x)

2
The work

Point Cost: 2
6.

Evaluate the limit using L’Hopital’s rule

lim as x approaches 0 x^4/(sinx - x)

0
The work

Point Cost: 1
7.

Evaluate the following limit:

lim as x approaches infinity ln(4x+5)/(4x+5)

0
The work

Point Cost: 1
8.

Evaluate the following limit:

lim as x approaches 0 (3x+tan(5x))/(3x-tan(4x))

-8
The work

Point Cost: 2
9.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches infinity xe^(1/x)-x

1
The work

Point Cost: 1
10.

Compute the following limit using l’Hˆopital’s rule if appropriate.

NA
11.

Compute the following limits using l’Hospital’s
rule if appropriate.

lim as x approaches inf ln(x^6-7)/(ln(x)cos(1/x)) e^(7x)/(e^(8x)-e^(-8x))

6

0

The work

Point Cost: 1
12.

Find the following limits, using L’Hˆopital’s rule, if appropriate.

lim as x approaches o (xcos^5(pi3^x^3))/ln(1+5x)

-0.2

The work


Point Cost: 1
13.

Evaluate the limit using L’Hospital’s rule if necessary

0
The work
14.

Evaluate the limit using L’Hospital’s rule if necessary

0
The work
15.

Evaluate the limit using L’Hospital’s rule if necessary

10/11
The work

Point Cost: 1
16.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches infinity (1+(5/x))^(x/7)

2.04272707026614
The work

Point Cost: 3
17.

Evaluate the limit using L’Hospital’s rule if necessary

1
The work
18.

Evaluate the limit using L’Hospital’s rule if necessary

1
The work
19.

Evaluate the limit using L’Hospital’s rule if necessary

lim as x approaches infinity (10x/(10x+8))^(6x)

0.00822974704902003
The work

Point Cost: 3
20.

For the following statements, input T if true; otherwise
enter F.

T
T
T
The work