Randolph College
Department of Mathematics and Computer Science

 

Homework # 8 - Math 1150


The problems on this homework must be done alone.  The honor code is in effect.

You may submit the solutions twice, if you wish.

 First Name:  Last Name:

 

Evaluate the following limits:

 

1. \(lim_{x \rightarrow 0+} \frac{e^{3x} - 1}{x}\)

a.  0

b.  \(\frac{1}{3}\)

c.  1

d.  3

e.  \(\infty\)

 

2. \(lim_{x \rightarrow \infty} \frac{x \ln x}{x^2 + 1}\)

a.  0

b.  \(\frac{1}{2}\)

c.  1

d.  2

e.  \(\infty\)