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Chapter 1: Q. 44 (page 149)

Calculate each limit in Exercises 35–80.

limx→2x+1(x-2)2

Short Answer

Expert verified

The limit is ∞.

Step by step solution

01

Step 1. Given Information:

Given expression: limx→2x+1(x-2)2

We want to find the limit of given expression.

02

Step 2. Solution:

Since the numerator is positive and the denominator (x−2)2approaches zero and is greater than zero for x near 2 on both sides, the function increases without bound.

Hence the limit is not defined i.e. ∞.

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