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Mathematics 30 Online
OpenStudy (flexastexas):

Limits help

OpenStudy (anonymous):

With?

OpenStudy (flexastexas):

http://imgur.com/dpBsiyR

OpenStudy (flexastexas):

1 & 3

OpenStudy (anonymous):

Do you know how to determine a limit?

OpenStudy (anonymous):

or bound?

OpenStudy (flexastexas):

I just did this :|

OpenStudy (flexastexas):

I need a refresher hold on

OpenStudy (flexastexas):

I typically use the substitution method to finding the limit

OpenStudy (anonymous):

ok...so have you set it up in any way?

OpenStudy (anonymous):

using the substituion method?

OpenStudy (flexastexas):

For question one they just want me to give an example of a limit that DNE and one that increases without bound

OpenStudy (flexastexas):

So maybe like \[X \rightarrow \infty \]

OpenStudy (anonymous):

oh okay sorry, i see...give me a sec...

OpenStudy (anonymous):

Okay well one way a limit may not exist is: If limit approaching an x-value from the right does not equal the limit approaching that x-value from the left. For Example: 1 / x as x ==> 0 approaching x = 0 from the right, 1 / x goes to + inf approaching x = 0 from the left, 1 / x goes to -inf but because their different, the limit doesn't exist. ...so this could be an example along with yours I believe. This may sound confusing...

OpenStudy (anonymous):

#1 asks, "What is the difference between a function whose limit does not exist and one that increases without bound?"....correct?

OpenStudy (flexastexas):

Yeah

OpenStudy (flexastexas):

One that increases without bound would be something like |dw:1446758840869:dw|

OpenStudy (flexastexas):

I got some sick drawing skills

OpenStudy (flexastexas):

But the question is, how do I put that into an equation

OpenStudy (anonymous):

It could also look differently but yes...and yes you do :P

OpenStudy (flexastexas):

\[\rightarrow \infty ?\]

OpenStudy (anonymous):

I would assume so

OpenStudy (anonymous):

Infinity is never ending...so if thats what your going for...then yes

OpenStudy (flexastexas):

Would any limit approaching infinity be boundless?

OpenStudy (anonymous):

I would belive so....either that or undefined

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