I need to prove that lim (mx+b) as x approaches c = mc +b. Any tips or help would be greatly appreciated.

Also, What exactly is the relationship of the definite integral to the derivative?

Again, help and or tips would be greatly appreciated.

Printable View

- January 6th 2009, 12:32 PMbemidjibasserHelp with delta epsilon proofs...
I need to prove that lim (mx+b) as x approaches c = mc +b. Any tips or help would be greatly appreciated.

Also, What exactly is the relationship of the definite integral to the derivative?

Again, help and or tips would be greatly appreciated. - January 6th 2009, 01:09 PMMoo
- January 6th 2009, 01:12 PMgalactus
This actually is not that bad. I know that the epsilon-delta thing can be confusing.

Therefore, for , let - January 6th 2009, 04:41 PMbemidjibasser
Thank you both. Is there a way to expand on the relationship of the derivative and the definite intergal? I think I can follow the formulas above, but how would you go about explaining more in words? Thanks again for help.

- January 6th 2009, 06:02 PMMathstud28
An alternative to Moo's post would be that in a sense integration and differentiation are inverses. If and is continuous at some point then is differentiable at and

- January 6th 2009, 06:35 PMbemidjibasser
Does the fundamental theorem have anything to do with this? Or the mean value theorem? Thank you again...

- January 6th 2009, 06:45 PMMathstud28