" (ii) "f(x)={[2x^(2)+k,," if "x>=0],[-2x^(2)+k,," if "x<0]" at "x=0

If (x)={2x^(2)+kquad ,quad if x>=0-2x^(2)+k,quad if x<0 then what should be the value of k so that f(x) is continuous at x=0.

Determine the value of the constant k so that the function f(x) = {:{(2x^2 + k, if x ge0), (-2x^2 + 4, if x < 0):} is continuous at x = 0

Let f(x)={x^(2)+k, when x>=0,-x^(2)-k, when x<0 } .If the function f(x) be continuous at x=0, then k=

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

Let for k>0 f(x)=[(k^(x)+k^(-x)-2)/(x^(2)) if x>0] , [3ell n(k-x)-2" if ",x<=0] , if f(x) is continuous at x=0 , then k is equal to

If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is continuous at x = 0 , then k = ….

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 , regardings the choice iof k.

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 , regardings the choice iof k.