Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q86
The value of lim_x → 0 1/x[ tan^-1((x+1)/(2 x+1))-(π)/4] is:
The value of
$$\lim _{x \rightarrow 0} \frac{1}{x}\left[\tan ^{-1}\left(\frac{x+1}{2 x+1}\right)-\frac{\pi}{4}\right] \text { is : }
$$
Official answer
(2)
$\displaystyle -\frac{1}{2}$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.