Q. 67

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

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

Verified

Answer

The graph for the given limit

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

1Step 1. Given information

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

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

First insert the function in the calculator by pressing $Y =$ key:

Adjust the viewing window by pressing $W I N D O W$ key:

Now press on $G R A P H$ 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 $\lim_{x \to 4} (3 - 4 x - 5 x^{2}) = - 93$