Math 112: Quiz 6
March 29, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Find the radius of convergence of the power series
(3)n n
x.
nn
n=1
(3)n n
x . (Note: If y
Math 112: Quiz 2
February 8, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Evaluate the limit lim+ x
x0
2. Evaluate the integral
x
.
x cos 5x dx.
2
3. Evaluate the i
Math 112: Quiz 1
January 25, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Find f 1 (4), where f (x) = 2x3 + 3x2 + 7x + 4.
2
2. Evaluate the integral
1
e1/x
dx.
x2
3
Math 112: Taylor Series Worksheet
Name:
This worksheet will not be collected. However, one of the problems may be on the exam.
1. Find the Maclaurin series for f (x) = e2x . What is the radius of convergence?
2. Find the Maclaurin series for f (x) = ln(1
Math 112: Worksheet 2
Due: Monday, March 18, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to email me.
(1)n+1
1. Is the series
n+1
n convergent or divergent?
n=1
2. Is the series
Math 112: Taylor series worksheet answers
1.
n=0
2.
n=1
(1)n 2n n
x , and R = .
n!
(1)n+1 n
x , and R = 1.
n
1
1 3 (2n 3)
3. 4 + (x 16) +
(1)n+1 n
(x 16)n , and R = 16.
8
2 n! 16n1/2
n=2
4.
n=0
1 + 2 (1)n n
x , and R = .
n!
1
Math 112: Quiz 3
February 15, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Is the integral
3
2. Is the integral
e
1
dx convergent or divergent? If its convergent, t
Math 112: Quiz 4
February 22, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1 4 9 16 25
1. Find a formula for the general term an in the sequence cfw_ , , , , , . . . .
Math 112: Quiz 9
April 26, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Find an equation of the tangent to the parametric curve x = 1 + 4t t2 , y = 2 t3 , at the po
Math 112: Quiz 8
April 19, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
1. Find the exact area of the surface obtained by rotating the curve y = x3 , 0 x 2, about the
Math 112: Quiz 7
April 12, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
sin(x) x + x3 /6
.
x0
x5
1. Evaluate the limit lim
2. Set up an integral that represents the le
Math 112: Quiz 5
March 22, 2013
Name:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to ask me.
(1)n
1. Is the series
n=2
2. Is the series
n=1
(1.1)n
absolutely convergent, conditionally conv
Math 112: Worksheet 1
February 1, 2013
Due: Monday, February 4
Name:
I worked with:
Each problem is worth 5 points. You do not have to simplify your answers. If you have any questions, feel
free to email me. You may work in small groups, but please indica