One-Sided Limits and Continuity — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on One-Sided Limits and Continuity (Differential Calculus), each with the correct answer and a worked solution.

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