Engineering Board Exam Reviewer · Limits · medium

Evaluate: x 4 sqrt(x)-2x-4

1. 1/4
2. 1/2
3. 0
4. undefined

Answer

A. 1/4

Solution

Since x-4=(sqrt(x)-2)(sqrt(x)+2), the expression simplifies to 1sqrt(x)+2, which approaches 1/4 as x 4.

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