Show that any linear function #f(x) = ax + b# is a continuous function in any #x_o in ℝ# ?
1 Answer
Feb 11, 2018
Use the definition of continuity.
Explanation:
Special case:
If a = 0, then
In this case let
Then
This is less than
Secondly, we observe that for
we have
Let
Then
Choose
Then whenever
we have
Therefore