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AP Calculus 1.4 Limits 231 Views


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Description:

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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