Home › UP Board Class 12 › Mathematics › Continuity and Differentiability › A function that fails the limit test at a point …
A function that fails the limit test at a point is:
AContinuous at
BDiscontinuous
CDifferentiable
DIntegrable ats
Answer & Solution
Correct 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: NCERT Class 12 Mathematics, Ch 5 'Continuity and Differentiability'_
Related questions
Two things this chain introduces beside continuity are differentiability and:Composites of continuous functions, by Theorem 2, are:To differentiate an implicit relation you use the:The function f(x) = |x| at x = 0 is continuous but not:For f(x) = 2x + 3 at x = 1, the limit and f(1) are both:An alternative to repeated product rule for many factors is:The chain rule can be extended to composites of:Does continuity at a point guarantee differentiability?