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.

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- Jan 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. - Jan 6th 2009, 01:09 PMMoo
- Jan 6th 2009, 01:12 PMgalactus
This actually is not that bad. I know that the epsilon-delta thing can be confusing.

Therefore, for , let - Jan 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.

- Jan 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

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

- Jan 6th 2009, 06:45 PMMathstud28