Enter Title

Error Bound

100

a_n+1  (in context of Error of alternating series)

Error Bound

200

Find the error bound of the first 6 terms #3

1/5040 OR 0.0002

300

DAILY DOUBLE #6

g(-6)=-12

g(4)=4

g(6)=3

400

Find the number of terms needed to approximate the sum of the series with error less than 0.001 #5

10

500

Approximate the sum of the series by the first 6 terms (#4)

1.7938 < S < 1.8054

Comparison Tests

100

When doing the limit comparison test, what does the limit look like in order for in to converge?

limit as n approaches infinity of a_n/b_n = L

200

What should you compare #9 to in order to see if #9 converges or diverges

1/n² - convergent p series 

300

Describe a good time to use a comparison test

when the series you are looking at looks like another convergent or divergent series you already know.

400

Find whether #10 converges or diverges - State what test you used.

Converges 

500

csc(-pi/6)

-2

Absolute and Conditional Convergence

100

|a_n| converges

Answer : what is ____________?

Absolute Convergence

200

|a_n| Diverges but a_n converges 

Answer : What is ________________?

Conditional Convergence

300

#2 - Find whether the series diverges, converges conditionally, or converges absolutely

Converges Absolutely

400

#7 - Find whether the series diverges, converges conditionally, or converges absolutely

Converges Conditionally

500

#8 - Find whether the series diverges, converges conditionally, or converges absolutely

Converges Absolutely

General Series

100

In order for this series to diverge, r > 1 or r = 1

What is a geometric series 

200

Describe the difference between a sequence and a series

Sequence is a list of numbers

Series adds those numbers

300

What are the two requirements for the alternating series test?

1) limit as a_n approaches infinity = 0

2) a_n+1 is less than or equal to a_n

400

This test analyzes the "last term" in an infinite series

Nth term test

500

#1

8

Anything

100

To show that a point of a function is a maximum, you need to either....

1. First derivative test - Show that d/dx = 0, and that f(x) goes from increasing to decreasing 

2. Second derivative test - Show that d/dx = 0, and that the second derivative is negative at that point

200

What are the two conditions for continuity at a point p?

1. Limit exists at the point p AKA left = right

2. f(p) = limit as x approaches p

300

If f'(x)=2x, and f(x) passes through the point (1,8).

Find f(x).

x²+7

400

A point moves along a straight line with v(t) = 2x+4. It has a know position at t=4 of 10, find its position at t=1.

= -21

500

Use integration by parts to integrate :

f(x)=xcos(x) from 0 to pi

= -2