Find the value of k for which is continuous at x = 0.

Given:

f(x) is continuous at x = 0 & f(0) = k

If f(x) to be continuous at x = 0,then,

f(0)^{–} _{=} f(0) ^{+ =} f(0)

LHL = f(0)^{–} =

1

Since f(x) is continuous at x = 0 & f(0) = k,then

k = 1

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