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Maths Continuity and Differentiability Class 12 MCQ and Assertion Questions

Short Quiz · Class 12 · Maths · CBSE

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

Practise Continuity and Differentiability Class 12 with Teachoo's Short Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
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The function given by \(\mathrm{f}(\mathrm{x})=\tan \mathrm{x}\) is discontinuous on the set
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Question 2 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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Question 3 of 5
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The function \(\mathrm{f}(\mathrm{x})=e^{|x|}\) is
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Question 4 of 5
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The function \(\mathrm{f}(\mathrm{x})=\frac{4-x^2}{4 x-x^3}\) is
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Question 5 of 5
NCERT Exemplar
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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