L'Hopital's Rule: Homework Statement

  • Thread starter Thread starter Jrlinton
  • Start date Start date
  • Tags Tags
    L'hopital's rule
Jrlinton
Messages
133
Reaction score
1
Member warned that some effort must be shown

Homework Statement


Just quickly, can you apply l'hopital's rule when the limit is evaluated as undefined/undefined as in the following limit:
upload_2017-2-8_10-55-37.png


Homework Equations

The Attempt at a Solution

 
Physics news on Phys.org
Jrlinton said:

Homework Statement


Just quickly, can you apply l'hopital's rule when the limit is evaluated as undefined/undefined as in the following limit:
View attachment 112747

Homework Equations

The Attempt at a Solution

Tell us what YOU think, first. Then, after seeing your work, we might be able to help.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top