If f(x)= _ t 0 [ 2x ^ -1 ( x t^2 ) ]

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

f(x)=\lim_{t\to0}\left[\frac{2x}{\pi}\tan^{-1}\left(\frac{x}{t^2}\right)\right],

then

f(1)