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Math 150A Midterm #1. September 16, 2005
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. a) (5pt) Let
f(x) =
1
1  x2
, and g(x) = x + 1
Find the composite function (f g)(x).
b) (5pt) Find the domain of composite function (f g)(x) in part a).
c) (5pt) Check whether function (f g)(x) is even or odd.
2
2. (20pt) Prove by argument that
lim
x2
