Q. 25 - Calculus

Question

Calculate the limits in Exercises 25–28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply. 

$\underset{x\to 1}{lim} 15(3-2x)$

Step-by-Step Solution

Answer

$\underset{x\to 1}{lim} 15(3-2x)=15$

Step 1. Given information.

We have to calculate the limit of the given function.

Function is:

$\underset{x\to 1}{lim} 15(3-2x)$

Step 2. Calculate the limit

The limit of the function can be calculated as:

$\begin{array}{r}\underset{x\to 1}{lim} 15(3-2x)\\ =15\underset{x\to 1}{lim} (3-2x)\\ =15(3-2\cdot 1)\\ =15(3-2)\\ =15\left(1\right)\\ =15\end{array}$