- #1

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*f*is said to be symmetrically continuous at X

_{0}if

*lim [f(X*

h-> 0

_{0}+ h) - f(X_{0}- h)]= 0h-> 0

Show that if

*f*is continuous at X

_{0}, it is symmetrically continuous there but not conversely.

- Thread starter mrs.malfoy
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- #1

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h-> 0

Show that if

- #2

- 97

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There isn't much more to do.

- #3

- 336

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f(x) =x if x is nonzero ,

f(0) =1.

f is symmetrically continuous at 0, but not continuous.

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