Let f: R → R be defined as f(x) = \ 2 sin (- (π x)/2),if x 1. If f(x) is continuous on R, then a + b equals:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Evening shift · Q4143

JEE Main 202126 Feb, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be defined as

f(x) = \left\{ \matrix{ 2\sin \left( { - {{\pi x} \over 2}} \right),if\,x < - 1 \hfill \cr |a{x^2} + x + b|,\,if - 1 \le x \le 1 \hfill \cr \sin (\pi x),\,if\,x > 1 \hfill \cr} \right.

If f(x) is continuous on R, then a + b equals :

JEE Main 2021 · 26 Feb, Evening shift · Q4143

JEE Main 202126 Feb, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be defined as

f(x) = \left\{ \matrix{ 2\sin \left( { - {{\pi x} \over 2}} \right),if\,x < - 1 \hfill \cr |a{x^2} + x + b|,\,if - 1 \le x \le 1 \hfill \cr \sin (\pi x),\,if\,x > 1 \hfill \cr} \right.

If f(x) is continuous on R, then a + b equals :