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Maths Continuity and Differentiability Class 12 MCQ and Assertion Questions

Question 1 of 5
Question 1 of 5
NCERT Exemplar
The value of c in Rolle's Theorem for the function \(\mathrm{f}(\mathrm{x})=e^x \sin x\), \(x \in[0, \pi]\) is
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Question 2 of 5
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The function \(\mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll}\frac{\sin x}{x}+\cos \mathrm{x} & , \text { if } \mathrm{x} \neq 0 \\ k & , \text { if } \mathrm{x}=0\end{array}\right.\) is continuous at \(\mathrm{x}=0\), then the value of k is
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Question 3 of 5
NCERT Exemplar
If \(f(x)=x^2 \sin \frac{1}{x}\), where \(x \neq 0\), then the value of the function \(f\) at \(x=\) 0 , so that the function is continuous at \(\mathrm{x}=0\), is
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Question 4 of 5
NCERT Exemplar
The function \(f(x)=|x|+|x-1|\) is
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Question 5 of 5
The function \(f(x)=[x]\) (the greatest integer function) is often used to model scenarios where values are truncated or rounded down. The discontinuity at integer values implies:
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Short Quiz · Class 12 · Maths · CBSE

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Chapter 5 Class 12 Continuity and Differentiability | 5 questions | about 4 minutes

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