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

Determine the type of discontinuity, if any, of f(x)=1/x-3 at x=3.

1. Infinite discontinuity
2. Removable discontinuity
3. Jump discontinuity
4. No discontinuity

Answer

A. Infinite discontinuity

Solution

f(x)=1/x-3 is undefined at x=3 and x 3f(x)= ∞, so f has an infinite discontinuity there.

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