Home
Class 12
MATHS
If f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt...

If `f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x >pi/2` , then which of the following holds? (a)`f` is continuous at `x=pi//2` (b)`f` has an irremovable discontinuity at `x=pi//2` (c)`f` has a removable discontinuity at `x=pi//2` (d)None of these

Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)=(cos x-sin2x)/((pi-2x)^(2));g(x)=(e^(-cos x)-1)/(8x-4 pi)

If f(x)=lim_(n->oo)(2sinx)^n for all x in [0,pi/6] , Then which of following statements is true (A)f(pi/6) not equal to 1(B) f(x) has irremovable discontinuity at x=pi/6 (c) f(x) has removable discontinuity at x=pi/6 (D) f(x) is coninuous in (0,pi/6)

If f(x)={:{((sin2x)/(sqrt(1-cos2x))", for " 0 lt x le pi/2),((cos x)/(pi-2x)", for "pi/2 lt x le pi):}

If f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", for " 0 lt x lt pi/2),((cos x)/(pi-2x)", for " pi/2 lt x lt pi):} , then

If f(x)={sin((a-x)/(2))tan[(pi x)/(2a)] for x>a and ([cos((pi x)/(2a))])/(a-x) for x

Let f(x)=(1-sin x)/((pi-2x)^(2))*(ln(sin x))/(ln(1+pi^(2)-4 pi x+4x^(2))),x!=(pi)/(2). The value of f((pi)/(2)) so that the function is continuous at x=(pi)/(2) is:

f (x) = {(cos x) / ((pi) / (2) -x), x! = (pi) / (2) 1, x = (pi) / (2)

If f(x) = {((1-sinzx)/(pi-2x), ",", x != pi/2),(lambda, ",", x = pi/2):} , be continuous at x = (pi)/2 , then the value of lambda is

If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):},"be continuous at "x=(pi)/(2), then value of lambda is