Question

Define the function $f:(-1,1)\rightarrow (-\frac{\pi}{2},\frac{\pi}{2})$ by
$f(x)=\sin^{-1}x$
Let a6 denote the coefficient of x6 in the Taylor series of (f(x))2 about x = 0. Then, the value of 9a6 equals ____________ (rounded off to two decimal places).

Answer 1

The correct answer is 1.50 to 1.70. (approx)