Question Number 101075 by bemath last updated on 30/Jun/20

lim_(x→0) ((arcsin (x^2 )−x^2 )/(x^4 tan ^2 x)) = ?

Commented byDwaipayan Shikari last updated on 30/Jun/20

lim_(x→0) ((x^2 +(x^6 /6)−x^2 )/(x^4 .x^2 )) =((x^6 /6)/x^6 )=(1/6) {As x→0 suppose tanx=x tan^2 x=x^2 }{And maclaurin series for sin^(−1) x^2 }