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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 = 5
Given:
f(x) is continuous at x = 5
If f(x) to be continuous at x = 5,thenf(5)– = f(5) + = f(5)
LHL = f(5)– =
⇒ 5k + 1
RHL = f(5) + =
⇒ 10
Since, f(x) is continuous at x = 5
we have,5k + 1 = 10
5k = 9
k =
The value of k is