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Chapter 1: Q. 71 (page 88)

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

limx鈫�鈭�x1002x

Short Answer

Expert verified

The approximated value of the limit is limx鈫�鈭�x1002x=0by using the calculator graph.

The graph is

Step by step solution

01

Step 1. Given Information.

The given limit islimx鈫�鈭�x1002x.

02

Step 2. Approximating the limit by using the calculator graphs. 

To approximate the limit by using the calculator graphs. Insert the function in the calculator then adjust the Window.

So, the graph is

From the graph, we can depict that for x鈫�鈭�the value of the function tends to0.

Thus, the limit expression has the value oflimx鈫�鈭�x1002x=0.

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�-6x+2=-4.

For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx鈫�-1x.

Explain why the Intermediate Value Theorem allows us to say that a function can change sign only at discontinuities and zeroes.

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�1(3x+8)=11

Use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.
Ifx>N, then1鈭�2x<鈭�500
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