A function that fails the limit test at a point is:

Question

Accepted Answer

B. Discontinuous

1. Continuity needs the limit to match the value.
2. If it does not, continuity fails at that point.
3. The function is discontinuous there.
4. So the answer is discontinuous.
_Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_

Answer

Continuous at

Answer

Differentiable

Answer

Integrable ats

A function that fails the limit test at a point is:

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