Q. 68 - Calculus

Question

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

$\underset{x\to \infty }{\lim }\left(-0.2x^5+100x\right)$

Step-by-Step Solution

Answer

The graph for the given limit 

The limit expression has the value of $\underset{x\to \infty }{\lim }\left(-0.2x^5+100x\right)=-\infty$

Step 1. Given information

The given limit $\underset{x\to \infty }{\lim }\left(-0.2x^5+100x\right)$

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 that for $x\to \infty$the value of the function tends to $-\infty$

Therefore,the limit expression has the value of $\underset{x\to \infty }{\lim }\left(-0.2x^5+100x\right)=-\infty$