### Home > CALC3RD > Chapter Ch7 > Lesson 7.4.3 > Problem7-207

7-207.

Evaluate each of the following limits.

1. $\lim\limits _ { x \rightarrow 1 } \frac { \operatorname { ln } ( x ) } { x ^ { 2 } - 1 }$

$\text{This is an indeterminate form: }\frac{0}{0}$

Use l'Hôpital's Rule.

1. $\lim\limits _ { x \rightarrow 0 ^ { + } } ( 1 + 5 x ) ^ { 2 / x }$

Do you remember the definition of $e$?