Calculus I (Math-UA-121.036)
Fall 2016-HW 3
Section 1.6
1. Evaluate the following limits.
(a) lim
x
(b) lim
x
cos x
x 2x
1
(d) lim x sin
x
x
4x 3
25x2 + 4x
4x4 + 9x 2x2
(c) lim
2. Sketch the graph of an example of a function f that satisfies all of the
Calculus I (Math-UA-121.036)
Fall 2016
Section 1.1
1. Find the domain and range of the following functions:
(a) f (x) = 4 x4
(b) f (x) = ln(x2 1) + 5
(c) f (x) =
x2 1
x+1
2. Determine whether the given function f is even, odd, or neither. Provide a comple