If the function `f(x) = 1/(In |x|)` has irremovable discontinuity at `x = a & b` and removable discontinuityat `x=c`, then find `a^2 + b^2 + c^2`.

Consider the function defined on [0,1] -> R, f(x) = (sinx - x cosx)/x^2 and f(0) = 0, then the function f(x)-(A) has a removable discontinuity at x = 0(B) has a non removable finite discontinuity at x = 0(C) has a non removable infinite discontinuity at x = 0(D) is continuous at x = 0

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

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

If f(x)={(2cos x-sin2x)/((pi-2x)^(2)),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( d) f has a removable discontinuity at x=pi/2( d) None of these

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 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

Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0 where[x] denotes the greatest integer function. then the correct statements are (A) Limit exists for x=-1 (B) f(x) has removable discontinuity at x =1 (C) f(x) has non removable discontinuity at x =2 (D) f(x) is non removable discontinuous at all positive integers

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

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

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

Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0 where[x] denotes the greatest integer function. then the correct statements are (A) Limit exists for x=-1 (B) f(x) has removable discontonuity at x =1 (C) f(x) has non removable discontinuity at x =2 (D) f(x) is discontinuous at all positive integers