SOLUTION: Please explain how to solve this limit problem lim ->0 (e^x-1)/x I know my teacher gave the answer as 1 but I didn't understand. Could you please give details on how this is

Algebra ->  Equations -> SOLUTION: Please explain how to solve this limit problem lim ->0 (e^x-1)/x I know my teacher gave the answer as 1 but I didn't understand. Could you please give details on how this is      Log On


   



Question 986568: Please explain how to solve this limit problem
lim ->0 (e^x-1)/x
I know my teacher gave the answer as 1 but I didn't understand. Could you please give details on how this is solved.
Thank you

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I'm going to assume you mean



because



doesn't exist (the limit from the left is and the limit from the right is )



Since we have the L'Hôpital indeterminate form . Since it is a proper indeterminate form, we can use L'Hôpital's Rule: evaluate the limit of the derivative of the numerator over the derivative of the denominator.



John

My calculator said it, I believe it, that settles it