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Limits Continuity and Differentiability question

2025 · 23 Jan · Shift 1 · Q34

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 23 Jan · Shift 1 · Q34

Limits Continuity and Differentiability question

2025 · 23 Jan · Shift 1 · Q34

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function

f(x)=\left\{\begin{array}{l} \frac{2}{x}\left\{\sin \left(k_1+1\right) x+\sin \left(k_2-1\right) x\right\}, \quad x0 \end{array}\right.

is continuous at

x=0

, then

k_1^2+k_2^2

is equal to :

A
5
B
10
C
20
D
8

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