lim(x->0)((1-e^2x)/(1-e^x))

### 2 Answers | Add Yours

`lim_(x->0)[1-e^(2x)]/[1-e^x]=`

`lim_(x->0)[(1-e^x)(1+e^x)]/(1-e^x)=`

`lim_(x->0)1+e^x=`

`1+1=2`

otner solution:

By L'Hôpital's rule we get:

lim as x goes to 0 ( -2e^2x / - e^x ) =

lim as x goes to 0 ( 2e^x ) = 2

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes