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
35
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