Epsilon-delta definition

[courtneybcca]

Okay I need some help I think I got the answer but not sure

prove the lim as x approach 2 (-x^3 +1)=-7 using the epsilon-delta definition of the limit

so for every epsilon greater than zero there exists a delta greater than zero

0<lx-2l<delta then, l(-x^3 +1) +7l<epsilon

which works out to l-x^3 +8l<epsilon

when you do the graph I am getting delta: 1 as 2- cubed root of (8-epsilon) and delta: 2 as cube root of (8+epsilon) -2

Not sure how this relates
I was getting all this for my homework problems then the teacher gave us these problems and now I am lost... Grrr

 

[slickdadd]

I might be able to help if you explained the epsilon delta method in a bit more detail. Not sure how that works.

 

[spongebob]

you need to post this in the thread titled 'crisis the sixth'.

sammy the math wizard is a post whore in there, i dont even think he has viewed any other threads lately. he has his own blackboard in his dorm.




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cereal killer!

sponge is no longer associated with the associates association.

Titanium Member

 

[courtneybcca]

I might be able to help if you explained the epsilon delta method in a bit more detail. Not sure how that works.

this is the basics of calculus if you dont already know this there is no way you can help me

 

[slickdadd]

this is the basics of calculus if you dont already know this there is no way you can help me

I haven't had basic calculus in a few years therefore I don't remember the theorems off the top of my head. But, suit your self....

 

[courtneybcca]

I totally appreciate you trying to help but I dont know it well enough to explain...

 

[samoth]

See VI.

 

[samoth]

sammy the math wizard is a post whore in there, i dont even think he has viewed any other threads lately. he has his own blackboard in his dorm.

Dammit, I said it's really a white dry-erase board!! I just call it a chalk board 'cuz I'm sick of people asking what a dry-erase board is.




actually, I have two of them. one huge two-sided flip-board, and one wall unit.

 

[spongebob]

see courtney, post this shit in the other thread. sammy will knock it out in no time flat.




__________________________________________________

cereal killer!

sponge is no longer associated with the associates association.

Titanium Member

 

[samoth]

I saw this and was like, fuck it, I don't have time to do that shit, but then I was wondering what the solution was, so I just did it.

God, I'm pathetic.