Can someone give me a basic summary of limits in Calculus 1? everything needed to know about it:) I'm trying to review for my final

Question

anonymous · Answer

@amistre64 help? :)

amistre64 · Answer

i forget the delta epsilon rigorous stuff ....

anonymous · Answer

^ I haven't learned that part..

amistre64 · Answer

but as long as you can recall the idea of a map and a road ... the limit is the point on the map where it shows a bridge at, eventho the bridge may be out of service

amistre64 · Answer

the concept is: the closer you get, the nearer you are ...

anonymous · Answer

I guess just important thm's and summary on rationalizing.. that stuff

anonymous · Answer

but you can never be "at" the limit right?

amistre64 · Answer

there used to be a guy that came on here that had a head full of thrms and such .. me? i was never good at that total recall stuff :)

anonymous · Answer

yes you can be at the limit.

anonymous · Answer

limit of 1, 1, 1, 1, ... is 1, and you're always at the limit.

amistre64 · Answer

the limit doesnt care what the value of the function is AT the point in question

anonymous · Answer

maybe a good website that has an overview of limits then? :)

amistre64 · Answer

what is the limit as x goes to 0 of x^2/x ??

amistre64 · Answer

http://tutorial.math.lamar.edu/Classes/CalcI/limitsIntro.aspx this is always a good site

anonymous · Answer

^ answer is zero

amistre64 · Answer

yes, the limit is zero, but what is the value of x^2/x  at x=0?

anonymous · Answer

0? My calculator says Error

amistre64 · Answer

when x=0, you are dividing by 0 ... which is an error, and undefined

anonymous · Answer

there is no value, maybe?

amistre64 · Answer

so, does x^2/x equal x ??

anonymous · Answer

yes lol

anonymous · Answer

Do you mean theorems like these: http://archives.math.utk.edu/visual.calculus/1/limits.18/index.html

amistre64 · Answer

x^2/x is not EQUAL to x  ; but they are equivalent for all values of x other than 0

amistre64 · Answer

they both have the same limits at all their points, even tho they do not have the same value at all their points

anonymous · Answer

If you solve x^2/x it comes out to x?

amistre64 · Answer

no, if you "simplify" x^2/x you get something thats equivalent ... not equal to it.

amistre64 · Answer

they are not alike in all their aspects; one is a rational function, the other is a polynomial

amistre64 · Answer

one has a hole at x=0, the other is continuous at x=0

anonymous · Answer

oh my bad.

amistre64 · Answer

good luck :)