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Chapter 1: Q. 68 (page 88)

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

limx鈫�鈭�-0.2x5+100x

Short Answer

Expert verified

The graph for the given limit

The limit expression has the value oflimx鈫�鈭�-0.2x5+100x=-鈭�

Step by step solution

01

Step 1. Given information

The given limitlimx鈫�鈭�-0.2x5+100x

02

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 Y=key:

Adjust the viewing window by pressing WINDOWkey:

Now press on GRAPHto get the graph as below:

From the graph,we see that for x鈫�鈭�the value of the function tends to -鈭�

Therefore,the limit expression has the value oflimx鈫�鈭�-0.2x5+100x=-鈭�

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Most popular questions from this chapter

For each limit statement , use algebra to find 未 > 0 in terms of 蔚> 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < 蔚.

limx鈫�31x=13;youmayassume未鈮�1

For each function f graphed in Exercises 23鈥�26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.

Use the delta-epsilon definition of continuity to argue that f is or is not continuous at the indicated point x=c.

f(x)=2鈭�x,鈥呪赌呪赌呪赌�ifxrationalx2,鈥呪赌呪赌呪赌�ifxirrational,c=2

Use what you know about one-sided limits to prove that a function f is continuous at a point x=cif and only if it is both left and right continuous at x=c.

Write delta-epsilon proofs for each of the limit statements in Exercises 47鈥�60.

limx鈫�2+32x-4=0
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