Q. 6 - 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 is $0.$

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,

$\underset{x\to \infty }{\lim }{x}^{-k}=0$