CPM Homework Help : PC Problem 8-54

Evaluate each of the following limits.

$\lim \limits _ { n \rightarrow \infty } ( 1 + \frac { 1 } { n } )$
Hint (a):
$\lim \limits_{n\to\infty}\left(\frac{1}{n}\right)=0$

$\lim \limits _ { n \rightarrow \infty } ( 1.01 ) ^ { n }$
Hint (b):
Think of this as a geometric sequence with a common ratio of $1.01$ .

Compute without a calculator