Engineering Board Exam Reviewer · One-Sided Limits and Continuity · medium

For what value of k is f(x)= casesx+k, & x<2 2, & x≥2 cases continuous at x=2?

1. 2
2. 4
3. 0
4. -2

Answer

A. 2

Solution

Continuity at x=2 requires x 2-(x+k)=f(2): 2+k=22=4, so k=2.

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