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Limits Continuity and Differentiability question

2024 · 1 Feb · Shift 1 · Q45

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 1 Feb · Shift 1 · Q45

Limits Continuity and Differentiability question

2024 · 1 Feb · Shift 1 · Q45

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f: \mathbf{R} \rightarrow \mathbf{R}

be defined as :

f(x)= \begin{cases}\frac{a-b \cos 2 x}{x^2} ; & x1\end{cases}

If

f

is continuous everywhere in

\mathbf{R}

and

m

is the number of points where

f

is NOT differential then

\mathrm{m}+\mathrm{a}+\mathrm{b}+\mathrm{c}

equals :

A
1
B
4
C
3
D
2

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