Posted by **Vanessa** on Tuesday, July 15, 2008 at 12:30pm.

Givenƒ(x) = e^x, verify that

lim (e^x+h-e^h) / h = e^x

h->O =

and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)

## Answer this Question

## Related Questions

- Calc. - verify that lim h>0 (e^x+h -e^h)/h=e^x and explain how this ...
- Calculus - Find the following limits algebraically or explain why they don’t ...
- Calculus - A table of values for f,g,f′, and g′ are given in the ...
- Calculus - A table of values for f,g,f′, and g′ are given in the ...
- calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...
- calculus (point me in the right direction please?) - f(x) and f′(x) are ...
- calculus - Consider the interval I=[6,7.6]. Break I into four subintervals of ...
- calculus - f(x) and f′(x) are continuous, differentiable functions that ...
- physics - Consider the two observers O and O′ at the origins of the ...
- Urgent Calculus Help - Let H(x)=F(G(x)) and J(x)=F(x)/G(x). Suppose F(7)=4, F&#...