MATH 1500 Fall 2014 Quiz 1D Solutions
x3 16x
. Determine the following limits. If the limit does not exist, state
x2 + 3x 4
whether it tends to , , or neither.
1. Let f (x) =
[4]
(a) lim f (x)
+
x1
x3
MATH 1500 Fall 2014 Quiz 2B Solutions
Family Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Given Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Student ID: ttttttttt
MATH 1500 Fall 2014 Quiz 1C Solutions
x3 9x
. Determine the following limits. If the limit does not exist, state
x2 + x 6
whether it tends to , , or neither.
1. Let f (x) =
[4]
(a) lim f (x)
+
x2
x3 9
MATH 1500 Fall 2014 Quiz 2A Solutions
Family Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Given Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Student ID: ttttttttt
MATH 1500 Fall 2014 Quiz 1B Solutions
x3 x
. Determine the following limits. If the limit does not exist, state
x2 2x 3
whether it tends to , , or neither.
1. Let f (x) =
[4]
(a) lim f (x)
+
x3
x3 x
.
MATH 1500 Fall 2014 Quiz 1A Solutions
x3 4x
. Determine the following limits. If the limit does not exist, state
x2 + x 2
whether it tends to , , or neither.
1. Let f (x) =
[4]
(a) lim f (x)
+
x1
x3 4
Page 1 of 4
Math 1500 Midterm Exam
Solutions
Fall 2014
1)a)
b)
Limit
Or
Upon substitution, one gets the form
to
so the limit does not exist but the functional values tend
. The question is: which one?
MATH 1500 Fall 2014 Quiz 2C Solutions
Family Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Given Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Student ID: ttttttttt
MATH 1500 Problem Workshop 2 Solutions
1. (a) Direct substitution make the denominator and numerator 0. Therefore we do some
algebra rst.
( t + 3 2)( t + 3 + 2)
t+32
t1
= lim
lim
= lim
t1 (t 1)(t + 1)
MATH 1500 Problem Workshop 3 Solutions
1. (a) Here we factor out the biggest term in the numerator and denominator since its
a limit at innity.
g 2 (3 + 4/g)
3g 2 + 4g
= lim 2
lim
g g (5 4/g 2 )
g 5g
MATH 1500 Fall 2014 Quiz 2D Solutions
Family Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Given Name: ttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Student ID: ttttttttt
MATH 1500 Fall 2014 Quiz 3A Solutions
Solve each of the following questions. Show all work.
[8] 1. Suppose y is a function of x dened inplicitly by
ey + xy 2 = tan(xy).
Determine dy/dx.
Solution: Taki