1. ## Limit exponential

Use a table of values to prove that
lim (e^x - 1) / x
x->0
I have no idea how to prove this function. Could someone help me with this problem?
Thank you

2. Originally Posted by Raimuna
Use a table of values to prove that
lim (e^x - 1) / x
x->0
I have no idea how to prove this function. Could someone help me with this problem?
Thank you

Prove what.... you just want to compute that limit? And the problem says use a table of values? Just plug in small values of x close to 0 For ex:

let $f(x)=\frac{e^x-1}{x}$

Plug in x=.1, x=.05, x=.01, .....

And you can do it from the negative side too to convince yourself the limit from the left = the limit from the right

3. Originally Posted by artvandalay11
Prove what.... you just want to compute that limit? And the problem says use a table of values? Just plug in small values of x close to 0 For ex:

let $f(x)=\frac{e^x-1}{x}$

Plug in x=.1, x=.05, x=.01, .....

And you can do it from the negative side too to convince yourself the limit from the left = the limit from the right