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AP Calculus AB Videos 14 videos

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Riemann sums are a way to estimate the area under a curve. Check out the video for all the deets.

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AP Calculus 1.2 Limits 260 Views


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Description:

AP Calculus 1.2 Limits. Evaluate the limit.


Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:06

brought to you by limits fifty five on the road

00:09

sign is not a suggestion Evaluate the limit is x

00:12

approaches one from the positive side for the function One

00:15

over the quantity one minus x and hear the potential

00:19

answers spent Well this problem is pretty straight forward We

00:24

just need to find the value of the function as

00:26

ex decreases toward one so let's plug in a few

00:29

points that's how this function behaves since we're approaching one

00:33

from the right we know that our value will always

00:36

be just a little bit bigger than one So first

00:39

we'll try one point one one minus one point one

00:42

is negative point one so one divided by negative point

00:46

one is negative ten if we plug in one point

00:49

oh five as x the bottom turns into negative point

00:52

oh five and one over Negative point five is negative

00:56

twenty our function values were getting more and more negative

01:00

so we know her answer can't be a b or

01:02

c this time we'll try a value closer to one

01:05

say like one point one that's one minus point no

01:09

one is negative points Oh one one divided by making

01:12

a point One is negative one hundred So as our

01:16

x value approaches one from the right our values get

01:20

more and more negative approaching negative infinity or answer his

01:24

need We'll keep our fingers crossed that actually increasing again 00:01:28.246 --> [endTime] in no time

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