Question

Use calculator graphs to make approximations for each of the limits in Exercises 67–74.

$\underset{x\to 4}{\lim }(3-4x-5x^2)$

Short answer

The graph for the given limit

The limit expression has the value of$\underset{x\to 4}{\lim }(3-4x-5x^2)=-93$

Step-by-step solution

Step 1. Given information

The given limit$\underset{x\to 4}{\lim }(3-4x-5x^2)$

Step 2. The strategy is to approximate the value of the limit expression using calculator graph

First insert the function in the calculator by pressing $\boxed{Y=}$ key:

Adjust the viewing window by pressing $\boxed{WINDOW}$key:

Now press on $\boxed{GRAPH}$to get the graph as below:

From the graph, we see $x\to 4$that the value of the function is -93.

Therefore, the limit expression has the value of$\underset{x\to 4}{\lim }(3-4x-5x^2)=-93$