Homework Help

Evaluate the limit: `lim_(x->1) ((x^n)-1)/(x-1)` 

user profile pic

murciof | Student, College Freshman | eNoter

Posted May 6, 2013 at 3:29 PM via web

dislike 1 like

Evaluate the limit:

`lim_(x->1) ((x^n)-1)/(x-1)` 

1 Answer | Add Yours

user profile pic

tiburtius | High School Teacher | (Level 3) Associate Educator

Posted May 6, 2013 at 3:47 PM (Answer #1)

dislike 1 like

We will use the following formula


Now our limit






Hence the solution is  `lim_(x->1)(x^n-1)/(x-1)=n`.

Alternatively you could use L'Hospital's rule.



Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes