Home
Class 12
MATHS
If f(x)={sin((a-x)/2)t a n[(pix)/(2a)] ...

If `f(x)={sin((a-x)/2)t a n[(pix)/(2a)]` for `x > a` and `([cos((pix)/(2a))])/(a-x)` for `x < a,` then `a. f(a^-)<0` b. `f` has a removable discontinuity at `x=a` c. `f` has an irremovable discontinuity at `x=a` d. `f(a^+)<0`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)'{{:(sin((a-x)/(2))tan[(pix)/(2a)],"for",xgta),(([cos((pix)/(2a))])/(a-x),"for",x lta):} (where [x] is the greatest integer function of x) and a gt 0, then

The period of f(x)=sin""(2pix)/(3)+ cos""(pix)/(2) , is

("lim")_(x->1)(1-x)tan(pix/2)=_____

Evaluate lim_(xtoa)(2-a/x)^("tan"(pix)/(2a)

Find the period of f(x)=sin((pix)/(n !))-cos((pix)/((n+1)!))

If the function f(x)=((1-x))/(2)tan.(pix)/(2) is continuous at x = 1, then f(1) is equal to

The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2 , is

The function f(x)=sin""(pix)/(2)+2 cos ""(pix)/(3)-tan""(pix)/(4) is periodic with period

Let f(0,pi) to R be defined as f(x)={{:(,(1-sinx)/((pi-2x)^(2)).(In sin x)/((In(1+pi^(2)-4pix+4x^(2)))),x ne (pi)/(2)),(,k,x=(pi)/(2)):} If a continuous at x=(pi)/(2) , then the value of 8sqrt|k|,is

The period of the fuction f(x)=sin""((pix)/(n!))+ cos((pix)/((n+1)!)) , is