The function f(x)=sin^(-1)(cosx) is
(a) discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

if the function f(x)=AX-B X =2 is continuous at x=1 and discontinuous at x=2 find the value of A and B

Let f(x)=(lim)_(x rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (A) f(x) is continuous but not differentiable at x=0 (B) f(x) is both continuous but not differentiable at x=0 (C) f(x) is neither continuous not differentiable at x=0 (D) f(x) is a periodic function.

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these

If f(x)={x ,xlt=1,x^2+b x+c ,x >1' find b and c if function is continuous and differentiable at x=1

Let f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then g(x) in (-2,2) (A) not continuous (B) not differential at one point (C) differential at all points (D) not differential at two points

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

If f(x)=sin([x]pi)/(x^2+x+1) where [.] denotes the greatest integer function, then (A) f is one-one (B) f is not one-one and not constant (C) f is a constant function (D) none of these

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(x^(2)-2x-8)/(x+2),x_(0)=-2

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(x^(3)+64)/(x+4),x_(0)=-4

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(3-sqrtx)/(9-x),x_(0)=9