f(x)={[k(x^(2)+3x)," if "x<0],[cos2x," if "x>=0]

Find the value of k, such that the function f(x) = {(k(x^2-2x), if x = 0):} at x=0 is continuous.

Determine the value(s) of constant(s) involved in the definition so that the given function is continuous: f(x)={k(x^(2)+3x)quad ,quad if quad x =0

(a) Determine the value of k so that the following function f(x) is continous at x=0 f(x)={((sin2x)/(x)" , if "xne0),(k" , if "x=0):} (b) Determine k, if the following function is continuous at x=0: f(x)={((sin3x)/(4x)" , "xne0),(k" , "x=0):} (c) Determine k so that the following function f(x) is continuous at x=0 f(x)={((sin5x)/(3x)" , "xne0),(k" , "x=0):}

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

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=

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

For what value of k is the function defined by f(x) = {{:(k(x^2 + 2)"," ,"if" x lt 0),(3x + 1",", "if "x gt 0):} continous at x = 0 ?

If f(x) is continuous at x=3 , where f(x)={:{((x^(2)-9)/(x-3),", for"x!=3),(2x+k,", otherwise"):} , then k=

[f(x)={[(sin3x)/(sin x),,x!=0],[k,,x=0] is continuous,if k is

If f(x) is continuous at x=0 , where f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):} , then k=