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AP Calculus: Problem Explanation Limits Drill 1, Problem 1. Which of the following are true about the pictured function?
Breathe in deeply through the nose... Now slowly exhale... Breathe in... And out... Now visualize the graph of the limit of f(x) as x approaches 2....
AP Calculus 1.4 Limits. Given the limit, which of the following are true?
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
Full Transcript
- 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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