Home
Class 11
MATHS
If f(x)={{:((1-sin^(3)x)/(3 cos^(2)x),if...

If `f(x)={{:((1-sin^(3)x)/(3 cos^(2)x),if x lt (pi)/(2)),(a,if x=(pi)/(2)),((b-(1-sinx))/(pi-2x)^(2),ifxgt(pi)/(2)):}` is continuous at x =`(pi)/(2)` find a and

Promotional Banner

Similar Questions

Explore conceptually related problems

f(x) = {{:((k cos x)/(pi-2x ), " if " , x ne (pi)/(2)),(3, "if" , x = (pi)/(2)):}"continuous at " x = (pi)/(2) " then k" =

f(x) = {{:(xsinx " if " 0 ltx le(pi)/(2)),((pi)/(2)sin(pi + x )" if " (pi)/(2) lt x lt pi):} then f(x) is discontinuous at

Lt_(x to (pi)/(2))[ sinx]=

f(x)=(tanx)/(sqrt(1+tan^(2)x)) and f((pi)/(2)-)=a,f((pi)/(2)+)=b then

Evalute Lt_(xto pi/2)(1+cos2x)/((pi-2x)^(2))

lim_(x to (pi)/(2))([1-tan((x)/(2))][1-sinx])/([1+tan((x)/(2))][pi-2x]^(3))=

f(x) = (cos x - sinx)/(cos (2x)) , x ne (pi)/(4) is continuous on [ 0, (pi)/(2)] " then " f((pi)/(4)) =

If f(x) = {{:(1 - sqrt(2 sinx)/(pi - 4r ) " if " x ne (pi)/(4)),(a " if " x = (pi)/(4)):} continuous at (pi)/(4) then a =

Let f(x) = {:{( sin x +cos x, 0 lt x lt (pi)/(2) ),( a, x = pi//2) , ( tan ^(2) x + cosecx , pi//2lt xlt pi ):} then its odd extension is

lim_(x to pi/2) ((2 x - pi)/(cos X)) =