if f(x) = 1-sin^3x/3cos^2x if x pi/2 a , if x = pi/2 is continous at x = pi/2 b(1-sinx)/(pi-2x)^2 - Maths - Continuity and Differentiability

Question

if f(x) = 1-sin^3x/3cos^2x if x<pi/2
a , if x = pi/2 is continous at x = pi/2
b(1-sinx)/(pi-2x)^2

FIND VALUES OF a , b

Himanshu · Accepted Answer

For f(x) to be continuous at x= Î /2, we must have

if f(x) = 1-sin^3x/3cos^2x if x<pi/2 a , if x = pi/2 is continous at x = pi/2 b(1-sinx)/(pi-2x)^2 FIND VALUES OF a , b