MathematicsHard179×since 2002Q4145Let f : R →\to→ R be a function defined as f(x)={\matrixsin(a+1)x+sin2x2x,if x<0\hfill\crb, if x =0\hfill\crx+bx3−xbx5/2, if x>0\hfill\crf(x) = \left\{ \matrix{ {{\sin (a + 1)x + \sin 2x} \over {2x}},if\,x < 0 \hfill \cr b,\,if\,x\, = 0 \hfill \cr {{\sqrt {x + b{x^3}} - \sqrt x } \over {b{x^{5/2}}}},\,if\,x > 0 \hfill \cr} \right.f(x)={\matrix2xsin(a+1)x+sin2x,ifx<0\hfill\crb,ifx=0\hfill\crbx5/2x+bx3−x,ifx>0\hfill\cr If f is continuous at x = 0, then the value of a + b is equal to :A−-−3B−-−2C−52- {5 \over 2}−25D−32- {3 \over 2}−23Check answerSkip