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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={(1,xlt0),(1+sinx,0 le x le(pi)/2),(2+(x-(pi)/2),(pi)/2lex):} then which of the following is true for f(x)?

If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is continuous at x=pi/2, then k is equal to

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)=x+sinx , then find (2)/(pi^(2)).int_(pi)^(2pi)(f^(-1)(x)+sinx)dx .

If f(x)=(sqrt(2)cosx-1)/(cotx-1) , x!=pi/4 . Find the value of f(pi/4) so that f(x) becomes continuous at x=pi//4 .

If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=pi/4dot Find the value of f(pi/4) so that f(x) becomes continuous at x=pi/4dot

f(x)={{:(((3)/(2))^((cot 3x)/(cot 2x)), 0 le xlt (pi)/(2)),(b+3, x =(pi)/(2)),( (1+|cotx|)^((a tan x|)/b), (pi)/(2) lt xlt pi):} is continuous at x= pi/2 , then

Let f(x) = x cos^(-1)(-sin|x|) , x in (-pi/2,pi/2)

If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

If f(x)=(1-sinx)/((pi-2x)^2) ,when x!=pi/2 and f(pi/2)=lambda, the f(x) will be continuous function at x=pi/2 ,where lambda=? (a) 1/8 (b) 1/4 (c) 1/2 (d) none of these