Q. 49 - 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.

${\infty }^0.$

Step-by-Step Solution

Answer

The given limit form is an indeterminate form.

Step 1. Given Information.

Given is a limit form: ${\infty }^0.$

Step 2. Indeterminate forms available.

$$\begin{gathered} We have following 7 indeterminate forms available with us: \\ {\infty }^0, \infty -\infty , \frac{0}{0} , \frac{\infty }{\infty } , 0^0 , 0\times \infty , 1^{\infty }. \end{gathered}$$

Step 3. Determining the value of the limit form given.

Since, the given limit form is an indeterminate form from step 2.

So, it's value cannot be defined or determinate.