- #1
sitia
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Homework Statement
Hi everyone,
I'm kind of struggling with determining continuity of functions.
Homework Equations
The Attempt at a Solution
For example, f(x)=|x-1| I know is continuous on ℝ but how do I show this clearly. I my head, I just think that the function is valid for any value of x and so it is continuous. However, I'm not sure of a way to show my work for that.
But how do I determine continuity for the following?
f(x) = {x^2sin(1/x) if x≠0 and 0 if x=0
Thanks for any help!