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

Evaluate: x 0+1/x

1. +∞
2. -∞
3. 0
4. 1

Answer

A. +∞

Solution

As x 0+, x is a small positive number, so 1/x +∞.

More One-Sided Limits and Continuity questions

1. Evaluate: x 0-1/x
2. Let f(x)=x2-1/x-1 for x 1, and f(1)=k. Find the value of k that makes f continuous at x=1.
3. For what value of k is f(x)= casesx+k, & x<2 2, & x≥2 cases continuous at x=2?
4. Determine whether x 2|x-2|/x-2 exists.
5. Determine the type of discontinuity, if any, of f(x)=1/x-3 at x=3.

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