Q. 10 - Calculus

Question

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

$\underset{x\to \infty }{\lim }{e}^{-kx}=?$

Step-by-Step Solution

Answer

The value of the limit $\underset{x\to \infty }{\lim }{e}^{-kx}=0.$

Step 1. Given Information.

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

Step 2. Value of the limit.

We know,

If $k>0,$

Then,

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