" (iv) "f(x)=[(2)/(1+x^(2))],x>=0

Discuss the continuity of the function ([.] represents the greatest integer function ):f(x)=[(2)/(1+x^(2))],x>=0

Find the points of discontinuity of following functions ( where ,[.] repesents greatest integer fuction ) (i) f(x) =[x//3], x in [0,30] (ii) f(x) =[log_(e)x] (iii) f(x)= [ sin^(-1)x] f(x) =[(2)/(1+x^(2))],x gt 0

The function f(x)=(2x^(2)-1)/(x^(4)),x>0 decreases in the interval

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

If f(x)={x^(2)sin((1)/(x^(2))),x!=0,k,x=0 is continuous at x=0, then the value of k is

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If a function satisfies the condition f(x+1/x)=x^(2)+1/(x^(2)),xne0 , then domain of f(x) is

If a function satisfies the condition f(x+1/x)=x^(2)+1/(x^(2)),xne0 , then domain of f(x) is