Let a, b $\in$ R, b $\in$ 0, Define a function $$f(x) = \left\{ {\matrix{ {a\sin {\pi \over 2}(x - 1),} & {for\,x \le 0} \cr {{{\tan 2x - \sin 2x} \over {b{x^3}}},} & {for\,x > 0} \cr } } \right.$. If f is continuous at x = 0, then 10 $-$$ ab is equal to ________________.

Question

Let a, b $\in$ R, b $\in$ 0, Define a function

$$f(x) = \left\{ {\matrix{ {a\sin {\pi \over 2}(x - 1),} & {for\,x \le 0} \cr {{{\tan 2x - \sin 2x} \over {b{x^3}}},} & {for\,x > 0} \cr } } \right.$.

If f is continuous at x = 0, then 10 $-$$ ab is equal to ________________.

Correct Answer

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