Let a, b R, b 0, Define a function f(x) = \ a sin (π)/2(x - 1), for x ≤ 0 tan 2x - sin 2x b x³, for x > 0.. If f is continuous at x = 0, then 10 - ab is equal to _ _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Aug, Morning shift · Q36

JEE Main 202126 Aug, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 ________________.

Your answerType your answer. Integers and decimals are accepted.