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Chapter 1: Q. 56 (page 149)

Calculate each limit in Exercises 35鈥�80.

limx鈫�鈭�x72-x83x2

Short Answer

Expert verified

The limit is infinity.

Step by step solution

01

Step 1. Given information   

The given expression islimx鈫�鈭�x72-x83x2

02

Step 2. Calculation   

The limit is calculated as below using L'Hopital Rule,

limx鈫�鈭�x72-x83x2=limx鈫�鈭�72x52-83x532x(differentiatingthenumeratoranddenominator)=limx鈫�鈭�354x32-459x232(differentiatingthenumeratoranddenominator)=354(鈭�)32-459(鈭�)232=鈭�-鈭�2=鈭�

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Most popular questions from this chapter

limx鈫�02xex-1

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

For each limit limx鈫�cf(x)=Lin Exercises 43鈥�54, use graphs and algebra to approximate the largest value of 未such that ifx鈭�(c-未,c)鈭�(c,c+未)thenf(x)鈭�(L-蔚,L+蔚)

limx鈫�-1x2-2x-3x+1=-4,蔚=0.1
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