[" hat the function "f(x)={(x)/(|x|+2x^(2)),x!=0],[k,x=0]

Prove that the function f(x)={(x)/(|x|+2x^(2)),x!=0 and k,x=0 remains discontinuous at x=0, regardless the choice of k

Prove that the function f(x)={(x)/(|x|+2x^(2)),quad x!=0k,quad x=0 remains discontinuous at x=0, regardless the choice of k.

Prove that the function f(x)={x/(|x|+2x^2),x!=0 and k ,x=0 remains discontinuous at x=0 , regardless the choice of k

Prove that the function f(x)={x/(|x|+2x^2),\ \ \ x!=0k ,\ \ \ x=0 remains discontinuous at x=0 , regardless the choice of k .

For what value of k, the function f(x)={((x)/(|x|+2x^(2))",", x ne 0),(k",", x=0):} is continuous at 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.

If the function f(x)={[(cos x)^((1)/(x)),x!=0k,x=0k,x=0]} is continuos at x=0 then the value of k]}

For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k", "x=0):} is continuous at x=0 ?

Prove that the function f defined by f(x) = {((x)/(|x|+ 2x^(2))",","if" x ne 0),(k,"if" x = 0):} remains discontinuous at x=0, regardless the choice of k