🛠️ JEE➗ Maths

If the function \(f\left(x\right)=\frac{{e}^{x}\left({e}^{\tan x−x}−1\right)+{\log }_{e}(\sec x+\tan x)−x}{\tan x−x}\) i…

Q1

If the function \(f\left(x\right)=\frac{{e}^{x}\left({e}^{\tan x−x}−1\right)+{\log }_{e}(\sec x+\tan x)−x}{\tan x−x}\) is continuous at \(x =0\), then the value of \(f (0)\) is equal to

[JEE Main 2026, 24 Jan (Shift 1)]

a

\(2\)

b

\(\frac{3}{2}\)

c

\(\frac{1}{2}\)

d

\(\frac{2}{3}\)

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