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AP Calculus Videos 14 videos

AP Calculus AB/BC 1.1 Limits
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AP Calculus: Problem Explanation Limits Drill 1, Problem 1. Which of the following are true about the pictured function?

AP Calculus AB/BC 1.5 Limits
265 Views

AP Calculus: AB/BC Limits Drill 1, Problem 5. Evaluate the limit.

Graphing and Visualizing Limits
1041 Views

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....

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AP Calculus 1.4 Limits 231 Views


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AP Calculus 1.4 Limits. Given the limit, which of the following are true?


Transcript

00:00

Thank you We sneak here's your shmoop too sure brought

00:05

to you by x values which are of course the

00:07

values you store in your x files Somebody's listening art

00:13

If the limit as x approaches a of half of

00:17

acts people's l then which of the following are true

00:21

Okay here the potential answers Ah this is better This

00:26

problem is purely conceptual so we won't have to do

00:28

any calculations Thank goodness we just need to determine which

00:31

combination of the three given statements is true Well if

00:36

we remember the definition of a limit we can easily

00:38

tell that statements one into our true function on lee

00:41

has a limit at a value A both the left

00:44

and right limits are the same In other words both

00:47

sides of the function have to approach the same values

00:50

Respect stand Since if i didn't we wouldn't have a

00:53

single limit either way at least we're not limitless Fine

00:57

Now that we know the first two statements are true

01:00

Will display statement three because we can statement three says

01:04

that value at a must be equal to the limit

01:07

of the function as x approaches a to disprove this

01:10

We just need to think of a case where this

01:12

isn't true Well one example where the function f of

01:16

x is not continuous at a but has a limit

01:20

in this case f of a one point five but

01:24

its limit as x approaches a is one They're different

01:28

So statement Three False Great Now that we know statement

01:31

three falls we can be sure answers The on ly

01:34

statements wanted were true you It was certainly a giant 00:01:37.051 --> [endTime] leap for math kind

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