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Mathematics 20 Online
OpenStudy (anonymous):

PLEASE HELP WILL GIVE MEDAL Find the indicated limit, if it exists.

OpenStudy (danjs):

yay , a question that is not, FIND THE LINE

OpenStudy (anonymous):

OpenStudy (anonymous):

LOL i have plenty that aren't like that if you like doing them XD

OpenStudy (danjs):

do you recall, for a limit to exist, both the right side limit and left side limit must be the same?

OpenStudy (danjs):

Limit as X goes to zero from the left (Neg) here is 5(0) - 9 = -9

OpenStudy (anonymous):

i dont really understand it at all to be honest so if you could explain it that would be SUPER helpful

OpenStudy (anonymous):

so -9 but what about the bottom equation?

OpenStudy (danjs):

If you go to the limit from the + you get 2

OpenStudy (danjs):

Since the left and right limits are not the same ,,, the limit does not exist

OpenStudy (anonymous):

replace x by 0 in both expressions if you get the same number, that is the limit if you do not, there is no limit that is all

OpenStudy (anonymous):

oh wow that's actually simple thank you both so much!

OpenStudy (danjs):

The limit can exist, and the function can still be different at a point.. for instance...

OpenStudy (danjs):

|dw:1418788264823:dw|

OpenStudy (danjs):

The graph approaches the same value from left and right, but the actual value of f(x) is not the limit

OpenStudy (anonymous):

i get what you explained for this question but im working on another question and i dont see how it works because there are 3 equations. do you mind helping me with that one?

OpenStudy (danjs):

sure

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