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Limits Continuity and Differentiability question

2024 · 4 Apr · Shift 1 · Q50

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 4 Apr · Shift 1 · Q50

Limits Continuity and Differentiability question

2024 · 4 Apr · Shift 1 · Q50

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

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

be a function given by

f(x)= \begin{cases}\frac{1-\cos 2 x}{x^2}, & x 0\end{cases}

where

\alpha, \beta \in \mathbf{R}

. If

f

is continuous at

x=0

, then

\alpha^2+\beta^2

is equal to :

A
48
B
6
C
3
D
12

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