Determine the value of the constant `k`, so that the function f(x) ={`(kx)/|x|`, if `x lt 0` ,3 if `x ge 0` is continuous at `x=0`

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

Determine the value of the constant k so that the function f(x) = {:{((sin2x)/(5x), if x ne 0),(k, if x = 0):} is continuous at x = 0

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if x le pi),(cosx, if x > pi):} is continuous at x = pi .

Determine the value of the constant k so that the function f(x) = {:{((sinkx)/x, x ne 0),(4+x, x = 0):} is continuous at 0.

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if xle 5),(3x-5, if x>5):} is continuous at x = 5.

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),quad if x!=0k,quad if x=0 is continuous at x=0

Determine the value of the constant k so that the function f(x)={kx^(2),quad if x 2 is continuous.

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

Determine the value of the constant k so that the function f(x)={kx^(2),quad if x 2 is continuous at x=2