f(x)=(x)/(2)+(2)/(x),x!=0

Prove that the function f defined by f(x)(x)/(|x|+2x^(2)),x!=0 and k,x=0 remains discontinous at x=0, regardless the value of k.

Let f(x)={[(x)/(2x^(2)+|x|) , If x!=0] , [1, If x=0] then

Find the minimum values of f(x)=x^(2)+(1)/(x^(2)), x gt 0

Select the most appropriate answer from the given alternatives in each of the following : The function f(x)=(|x|)/(x^(2)+2x), x ne 0and f(0)=0 is not continuous at x=0 because

Select the write the most appropriate answer from the given alternatives in each of the following : The function f(x)=(|x|)/(x^(2)+2x), x ne 0and f(0)=0 is not continuous at x=0 because

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

For what value of mu is the function f(x)=mu(x^(2)-2x),x 0 is continuous at x=0

Let f(x)= { [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) none of these