In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

Given:

f(x) is continuous at x = 0

If f(x) to be continuous at x = 0,then,f(0)^{–} _{=} f(0) ^{+} _{=} f(0)

LHL = f(0)^{–} =

k(0 + 2)

2k ...(1)

RHL = f(0) ^{+} =

1 ...(2)

Since, f(x) is continuous at x = 0,From (1) & (2),we get,

2k = 1

k =

36