Writing The Limit Of A Sequence With A Factorial

  • Thread starter Bashyboy
  • Start date
  • #1
Bashyboy
1,421
5

Homework Statement


The sequence is [itex]a_n = \frac{n^P}{e^n}[/itex]


Homework Equations





The Attempt at a Solution


If I did L'Hopital's rule P times, would the final product look like:

[itex]P!\times lim_{n \rightarrow \infty} = \frac{1}{e^n}[/itex] ?
 

Answers and Replies

  • #2
Dustinsfl
2,285
5

Homework Statement


The sequence is [itex]a_n = \frac{n^P}{e^n}[/itex]


Homework Equations





The Attempt at a Solution


If I did L'Hopital's rule P times, would the final product look like:

[itex]P!\times lim_{n \rightarrow \infty} = \frac{1}{e^n}[/itex] ?

I don't see why it wouldn't
 
  • #3
Bashyboy
1,421
5
I just wasn't sure if I had wrote it properly. Thank you.
 

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