Q. 11 - Calculus

Question

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

$\underset{x\to \infty }{\lim }{2}^x$=?.

Step-by-Step Solution

Answer

The value of the limit is $\infty$.

Step 1. Given Information.

The given limit function is $\underset{x\to \infty }{\lim }{2}^x$.

Step 2. Value of the limit.

The given limit can be written as,

$$\begin{gathered} =\underset{x\to \infty }{\lim }{2}^x \\ =2^{\infty } \\ =\infty \end{gathered}$$