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

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k(x^(2)-2x),quad if quad x =0 at x=0

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={((1-cos2k x)/(x^2), if x!=0 ),(8, if x=0):} at 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

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?

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

If f(x) is continuous at x=0 , where f(x)={:{(k(x^(2)-2)", for " x le 0),(4x+1", for " x gt 0):} , then k=

If f(x)={((sin5x)/(x^(2)+2x),"when "x ne 0),(k+(1)/(2),"when "x =0):} is continuous at x=0, then the value of k is-

If f(x)={((3x^(2)+2x)/(x),"when " x ne 0),(k,"when " x=0):}} , what must the value of k be equal to in order for f(x) to be a continuous function?

Determine the value of the constant k so that the function f(x) = {:{(k(x^2+2), if x le 0),(3x+1, if x > 0):} is continuous at x = 0

If f(x) is continuous at x=0 , where f(x)={:{((sec^(2)x)^(cot^(2)x)", for " x!=0),(k", for " x=0):} , then k=