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Limits Continuity and Differentiability question

2025 · 24 Jan · Shift 1 · Q27

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 24 Jan · Shift 1 · Q27

Limits Continuity and Differentiability question

2025 · 24 Jan · Shift 1 · Q27

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}

be a function such that

f(x)-6 f\left(\frac{1}{x}\right)=\frac{35}{3 x}-\frac{5}{2}

. If the

\lim\limits _{x \rightarrow 0}\left(\frac{1}{\alpha x}+f(x)\right)=\beta ; \alpha, \beta \in \mathbb{R}

, then

\alpha+2 \beta

is equal to

A
6
B
5
C
3
D
4

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