## Notes Information

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## Sample Document Text

Is ?u k
geometric?
START
Is ?u k
telescoping?
Does ?u k
have all positive
terms?
Does ?u k
contain factorials
&/or exponential
functions?
Is
0lim ?
?? kk
u ?
Is ?u k
alternating?
Converges is
-1< r < 1
Diverges if
1??r or 1?r
Write Sn in closed form.
Converges if
n
n
S
??
lim exists.
Diverges if
n
n
S
??
lim d n.e.
Is ?u k
a p-series?
Let f(x) be the function that
results when k is replaced by
x in the formula for ku . Is
f decreasing and continuous
for 1?x , and do you
know ( )? dxxf ?
Converges if
p >1. Diverges if
10 ?< p
Use ratio test.
Converges if
1lim 1 <+
?? k
k
k u
u
Diverges if
1lim 1 >+
?? k
k
k u
u ( )
?+or
Diverges by
divergence test
Use integral test.
If integral
conv...

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