Q. 29 - Calculus

Question

Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form. 

$\frac{\infty }{\infty }$

Step-by-Step Solution

Answer

The given limit form is an indeterminate form.

Step 1. Given Information.

The given limit form is $\frac{\infty }{\infty }.$

Step 2. Determine whether the limit forms are indeterminate or not indeterminate.

Indeterminate forms of limits are $\frac{0}{0}, \frac{\infty }{\infty }, 0·\infty , \infty -\infty , 0^0, 1^{\infty }, \mathrm{and} {\infty }^0.$

As we can see the given limit form is one of the indeterminate forms.