# Calculus

Find one sided limit

lim x->2+ 1/(1+e^(1/x-2))

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1. Missing Parentheses:

Lines below are not rigorous, but demonstrate what happens.

For x->2+
1/(1+e^(1/(x-2)))
=1/(1+e^(1/0+)))
=1/(1+e^∞)
=0

For x->2-
1/(1+e^(1/(x-2)))
=1/(1+e^(1/(0-)))
=1/(1+e^(-∞))
=1/(1+0)
=1

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