Question #24348

1 Answer
Jim H
May 13, 2017

For the definition of the limit of a function, please see below.

Explanation:

Let f be a function defined on an open interval containing a (except possibly at x=a)

lim_(xrarrcolor(green)(a))color(red)(f(x)) = color(blue)(L) if and only if

for every epsilon > 0, there is a delta > 0 such that:
for all x, " " if 0 < abs(x-color(green)(a)) < delta, then abs(color(red)(f(x))-color(blue)(L)) < epsilon.

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