Using an appropriate definition of continuity, show that the continuity of f (.) at x is equivalent to

lim h->0 sup|t|<h |f (x + t) ─ f (x)| = 0

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- Oct 27th 2012, 12:06 AMujgilanihow to show the following result using continuity definition
**Using an appropriate definition of continuity, show that the continuity of f (.) at x is equivalent to**

*lim h->0 sup|t|<h |f (x + t) ─ f (x)| = 0* - Oct 27th 2012, 12:46 AMjohnsomeoneRe: how to show the following result using continuity definition
Please don't double post.