alleryContinuity of f at c requires the limit at c to equal:
AZero at all times
BOne at all times
CThe slope at c
DThe value f of c
Answer & Solution
Correct answer: D. The value f of c
1. A function is continuous where its graph has no jump.
2. The worked examples check limit against value.
3. The limit at c must equal f(c).
4. So the answer is the value f of c.
_Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_
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