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Chapter 1: Q. 51 (page 149)

Calculate each limit in Exercises

limx鈫�0+x-13-x-12

Short Answer

Expert verified

The value oflimx鈫�0+x-13-x-12is-鈭�.

Step by step solution

01

Step 1. Given information

The given limit islimx鈫�0+x-13-x-12.

02

Step 2. value of the expression.

Evaluate the expression.

limx鈫�0+x-13-x-12=limx鈫�0+1x13-1x12=limx鈫�0+1x3-1x=103-10=鈭�-鈭�=-鈭�

The value of limit is-鈭�.

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Most popular questions from this chapter

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�3x4.

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�3(x2-6x+5)=-4

Calculate each of limits:

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limx鈫�鈭�x-1x=1, findNin terms of蔚.

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f(x)=x鈭�2
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