sequences and series Flashcards
(19 cards)
1
Q
1/n tends to
A
0
2
Q
1/n^x tends to
A
0
3
Q
consider C^n, if C<1, C^n tends to
A
0
4
Q
consider C^n, if C=1, C^n tends to
A
1
5
Q
consider C^n, if C=-1, C^n tends to
A
1,-1,1,-1 so C^n is divergent
6
Q
consider C^n, if C>1, C^n tends to
A
is divergent
7
Q
an + bn tends to
A
a + b
8
Q
an - bn tends to
A
a - b
9
Q
anbn tends to
A
ab
10
Q
an/bn
A
a/b
11
Q
Kan tends to
A
Ka
12
Q
for harmonic series, consider 1/n^p, it is convergent when
A
p>1
13
Q
for harmonic series, consider 1/n^p, it is divergent when
A
0<p<=1
14
Q
what is the nth term test for divergence
A
if the lim n-> infinity /= 0 then it is divergent
15
Q
what is the comparison test
A
compare terms of an unfamiliar series with those of a series we know about
16
Q
if L = 1
A
it tells us nothing
17
Q
if L < 1
A
it converges
18
Q
if L > 1
A
it diverges
19
Q
A
