MATH 2413 Houston Community College System Math Worksheet

Math 2413Written Homework Assignment 3
Lovely Limits (Sections 1.2-2.1)
Full Name:
PSID:
Instructions
• Print out this file, fill in your name and ID above, and complete the problems. If the problem is from the text, the
section number and problem number are in parentheses. (Note: if you cannot print out this document, take the time
to carefully write out each problem on your own paper and complete your work there.)
• Use a blue or black pen (or a pencil that writes darkly) so that when your work is scanned it is visible in the saved
image.
• Write your solutions in the spaces provided. Unless otherwise specified, you must show work in order receive credit for
a problem.
• Students should show work in the spaces provided and place answers in blanks when provided, otherwise BOX final
answer for full credit.
• Once completed, students need to scan a copy of their work and answers and upload the saved document as a .pdf
through CASA CourseWare.
• No late assignments accepted.
1. (12 points) A graph of a function y = f (x) is shown below. Six statements about this function are presented
below; mark each one as either T (“TRUE”) or F (“FALSE”). No work need be included for this question.
a) f (0) is undefined
b) lim f (x) = ∞
x→0+
c) lim− f (x) = 3
x→0
d) f (x) has a removable discontinuity at x = 2 (which can be removed by assigning f (2) = 4).
e) f (x) has a jump discontinuity when x = 2
f) f (2) = 3
1
2. (10 points) The piecewise function q(t) is defined by the formula
q(t) =

 At1/2 − 11

tan
π
36 t


:0≤t