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Limits Continuity and Differentiability question

2024 · 8 Apr · Shift 2 · Q42

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 8 Apr · Shift 2 · Q42

Limits Continuity and Differentiability question

2024 · 8 Apr · Shift 2 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

For

\mathrm{a}, \mathrm{b}\gt 0

, let

f(x)= \begin{cases}\frac{\tan ((\mathrm{a}+1) x)+\mathrm{b} \tan x}{x}, & x 0\end{cases}

be a continuous function at

x=0

. Then

\frac{\mathrm{b}}{\mathrm{a}}

is equal to :

A
4
B
5
C
8
D
6

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