Sequences and Basic Series Flashcards
1
Q
What are the two series we focus on here?
A
Geometric and telescoping
2
Q
Convergent if…
A
|r|<1
3
Q
If convergent, what eq do we use
A
1st term/(1-r)
4
Q
|r|>1 what happens
A
The series diverges
5
Q
How does this split: 1/(n(n+1)
A
[1/n]-[1/(n+1)]
6
Q
Basically, what do you do for a telescoping series
A
1st v. Last
7
Q
[Bn - Bn+1]
A
Sn = B1 - Bk+1
8
Q
ln(0)
A
-infinity
9
Q
ln(0)
A
-infinity
10
Q
ln(+infinity)
A
+infinity
11
Q
d/dx ln(x)
A
1/x
12
Q
e^-infinity
A
0
13
Q
e^+infinity
A
+infinity
14
Q
d/dx a^x =
A
a^x ln(a)
a>0
15
Q
arctan (+/- infinity)
A
Pi/2
