If `y=1/(t^2+t-2),w h e r et=1/(x-1),` then find the number of points where `f(x)` is discontinuous.

If y=1/(t^2+t-2),where \ t=1/(x-1), then find the number of points where f(x) is discontinuous.

If a function y=f(x) is defined as y=(1)/(t^(2)-t-6)and t=(1)/(x-2), t in R . Then f(x) is discontinuous at

If function y=f(x) has only two points of discontinuity say x_1,x_2, where x_1,x_2<0, then the number of points of discontinuity of y=f(-|x+1|) is (a) 0 (b) 2 (c) 6 (d) 4

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Let f(x)={(1-cosx)/(x^2),\ \ \ w h e n\ x!=0 ; 1,\ \ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

If f(x+2a)=f(x-2a),t h e np rov et h a tf(x)i sp e r iod i cdot

If f(x+2a)=f(x-2a),t h e np rov et h a tf(x)i sp e r iod i cdot

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

"I f"f(x)={x^3-6x^2; ifxi sr a t ion a l-11 x+6;ifxi si r r a t ion a l"t h e n" f(x) is continuous for all real x f(x) is continuous at x=1,2,3. f(x) is discontinuous at infinite points f(x) discontinuous for all real xdot