WEBVTT
1
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let's use the comparison test to show that the Siri's
2
00:00:08.650 --> 00:00:13.099 A:middle L:90%
converges. So here we have in factorial over into
3
00:00:13.099 --> 00:00:18.160 A:middle L:90%
the end. So this is one times two times
4
00:00:18.160 --> 00:00:23.570 A:middle L:90%
three all the way up to end than end and
5
00:00:23.920 --> 00:00:27.850 A:middle L:90%
all the way up to end and times. So
6
00:00:27.850 --> 00:00:36.490 A:middle L:90%
this is one half two thirds one number end two
7
00:00:36.490 --> 00:00:43.000 A:middle L:90%
over end and over end. And this is less
8
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than or equal to one over end times two over
9
00:00:46.890 --> 00:00:53.020 A:middle L:90%
and sense three over end all the way up to
10
00:00:53.020 --> 00:00:55.369 A:middle L:90%
an hour. And these are all less than or
11
00:00:55.369 --> 00:01:02.560 A:middle L:90%
equal to one so we can replace the sum with
12
00:01:03.340 --> 00:01:11.219 A:middle L:90%
two over and swear. And this convergence, this
13
00:01:11.219 --> 00:01:15.170 A:middle L:90%
is you could use the pee test with P equals
14
00:01:15.170 --> 00:01:19.430 A:middle L:90%
two. And that's David than one, which implies
15
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conversions now by the comparison test. Our Siri's also
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converges