- #1

barksdalemc

- 55

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## Homework Statement

Show that f(x)=x^2sin(1/x) is piecewise continuous in (0,1)

## The Attempt at a Solution

I'm trying to show continuity in (0,1) so I need to show limit as function approaches any given Xo is the value of the function itself, ie. |X^2sin(1/X) - Xo^2sin(1/Xo)|< eps. Can anyone help from here?