Q. 5 - Calculus

Question

Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive 

$\underset{x\to \infty }{\lim }{x}^k=?$

Step-by-Step Solution

Answer

The value of the limit$\underset{x\to \infty }{\lim }{x}^k$ is $\infty .$

Step 1. Given Information.

The given limit function is $\underset{x\to \infty }{\lim }{x}^k.$

Step 2. Value of the limit.

We know,

If $k>0$,

Then,

$\underset{x\to \infty }{\lim }{x}^k=\infty$.