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## Homework Statement

I want to solve for the derivative of e^x using the limit definition.

## Homework Equations

http://www.math.hmc.edu/calculus/tutorials/limit_definition/img10.png [Broken]

## The Attempt at a Solution

obviously the derivative of e^x is itself, so i konw the answer. i just cannot derive it using the limit definition.

i plug it in and i get lim (h->0) [ e^(x+h) - e^x ] / h

with h being delta x

from there i have no idea how to simplify it. can someone give me a hint on how to start and some possibly ways to simplify it down?

thanks.

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