1. Exercise.
We dene
f(x) =
3 p
x
p
x2=3 1
:
(1) Find the domain of f.
(2) Compute limx!1 f(x) and limx!1 f(x).
(3) Compute limx!1+ f(x) and limx!1 f(x).
(4) Compute f0(x) and f00(x).
(5) Find all critical numbers.
(6) Find all points of inection.
(7) Find all asymptotes.
(8) Draw the graph of f.
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