Q. 12 - Calculus

Question

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

$\underset{x\to \infty }{\lim }(0.75{)}^x$=?.

Step-by-Step Solution

Answer

The value of the limit$\underset{x\to \infty }{\lim }(0.75{)}^x=\infty$.

Step 1. Given Information.

The given limit function is $\underset{x\to \infty }{\lim }(0.75{)}^x$.

Step 2. Value of the limit.

The value of the limit will be,

$\underset{x\to \infty }{\lim }(0.75{)}^x={(0.75)}^{\infty }=\infty$