Q. 9 - Calculus

Question

Fill in the blanks to complete each of the following theorem statements: 

Power functions are continuous everywhere, which means in terms of limits that             . 

Step-by-Step Solution

Answer

 Power functions are continuous everywhere, which means in terms of limits that $\underline{\underset{x\to c}{\lim }A{x}^k=A{c}^k.}$

Step 1. Given information.

The given incomplete statement is following. 

Power functions are continuous everywhere, which means in terms of limits that           . 

Step 2. Explanation.

Power functions are continuous everywhere, which means in terms of limits that $\underline{\underset{x\to c}{\lim }A{x}^k=A{c}^k.}$