Find the values of a and b such that the following functions f, defined as

Question:

Find the values of $a$ and $b$ such that the following functions $f$, defined as $\left\{\begin{array}{l}\operatorname{asin} \frac{\pi}{2}(x+1), x \leq 0 \\ \frac{\tan x-\sin x}{x^{3}}, x>0\end{array}\right.$ is continuous

at $x=0$

Solution:

$=\frac{1}{2}$

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