1. The problem statement, all variables and given/known data
Show that the limit as h approaches 0 of ((e^h)-1) / h = ln e = 1 using two numerical examples.
2. Relevant equations
|Exponential
3. The attempt at a solution
I have the solution but don't quite understand the steps involved.
1)(e^h-1)/h
2)(1+h)^(1/h)=e
3)1+h=e^h
4).....
I need help understanding how you get from the first step to the second step and then to the third step when proving this limit. Thanks.
Show that the limit as h approaches 0 of ((e^h)-1) / h = ln e = 1 using two numerical examples.
2. Relevant equations
|Exponential
3. The attempt at a solution
I have the solution but don't quite understand the steps involved.
1)(e^h-1)/h
2)(1+h)^(1/h)=e
3)1+h=e^h
4).....
I need help understanding how you get from the first step to the second step and then to the third step when proving this limit. Thanks.
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