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AP Calculus 2.3 Limits 208 Views
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Description:
AP Calculus 2.3 Limits. Which of the following facts is helpful in determining the limit?
Transcript
- 00:00
Thank you We sneak here's your smoke too Sure brought
- 00:05
to you by sine x If you're having signed x
- 00:09
problems we recommend suiting All right which of the following
- 00:15
facts is helpful in determining the limit of sine x
- 00:18
over acts as x approaches npr All right And here
Full Transcript
- 00:23
the potential answers This is it Okay so we've got
- 00:28
one of those choose the right roman numerals questions In
- 00:34
this case we're trying to see which one of these
- 00:36
facts helps us determine the limit Ok so let's go
- 00:39
through each option and pick out the ones that are
- 00:41
true Roman numeral one negative one over acts is less
- 00:45
than or equal to sign of acts over x is
- 00:48
also less than or equal to one over x Well
- 00:52
when we deal with trying to find limits have founded
- 00:54
trig functions like this we know instantly it's a job
- 00:58
for the squeezing serum dresses It works much better with
- 01:01
functions that goes with it squeezing terms as if the
- 01:04
output of a function f of acts is always between
- 01:07
the outputs of two other functions g of axe and
- 01:10
h of x and g of axe and h of
- 01:13
x both approached the lind l as x approaches infinity
- 01:17
then the function half of acts also obstruct his scalp
- 01:21
as x approaches infinity Okay so we know from the
- 01:25
basic during function graph sign of acts that the y
- 01:27
values of sine x are limited betweennegative one and one
- 01:30
in other words sign effects is unfounded So if we
- 01:34
just divide the entire inequality by Acts we'd get negative
- 01:37
1 over acts It is less than or equal to
- 01:40
sign x over x which is last center equal to
- 01:42
one over x This will definitely help us find the
- 01:46
limit The boom roman numeral one is correct and we
- 01:49
can cross off answers Be seeing me because well they
- 01:51
include one group Now we just have to check to
- 01:54
see if roman numeral two is correct Since there's no
- 01:57
answer Choice with options One two three All being through
- 02:00
the next step in applying squeezing term is to actually
- 02:03
find the limits His ex approaches infinity of each of
- 02:05
the parts of the inequality The negative one over accident
- 02:08
signed x over act and the one over act which
- 02:12
means we just have to know the limit of one
- 02:14
overnegative acts and won over axes X approaches infinity For
- 02:18
that we have statement too statement to tells us that
- 02:21
the limit of one over axes x approaches is zero
- 02:24
Perfect Of course we still need to know the limit
- 02:27
of negative one over access x approaches infinity to solve
- 02:30
the limit as x approaches Infinity of sine x overact
- 02:34
bye Statements one into both Tell during the limit Statement 00:02:39.23 --> [endTime] from him to our true Our answers Yeah
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