Simple Manipultion - what am I missing?

  • Thread starter Thread starter meb09JW
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on the manipulation of mathematical series, specifically addressing the transition from the top-right to the bottom-left in a given problem. The user expresses confusion regarding the application of L'Hôpital's Rule for the case when k=0, highlighting the 0/0 indeterminate form. Key variables mentioned include k, N, and j, which remain undefined in the context provided. The user suggests revisiting the original series for clarity on the k=0 scenario.

PREREQUISITES
  • Understanding of L'Hôpital's Rule and its application in calculus.
  • Familiarity with mathematical series and convergence concepts.
  • Knowledge of variable notation in mathematical contexts.
  • Basic skills in limit evaluation and indeterminate forms.
NEXT STEPS
  • Review the application of L'Hôpital's Rule in various scenarios.
  • Study the properties of mathematical series and their convergence criteria.
  • Learn about the implications of undefined variables in mathematical expressions.
  • Explore limit evaluation techniques for indeterminate forms beyond 0/0.
USEFUL FOR

Students and professionals in mathematics, particularly those dealing with calculus and series manipulation, will benefit from this discussion.

meb09JW
Messages
23
Reaction score
0
Hi,

I'm not sure how to go from the top-right to the bottom left.

It seems like they have differentiated the top and bottom separately... but I think there is some e identity I have forgotten?

thanks!
 

Attachments

  • cap.JPG
    cap.JPG
    14.5 KB · Views: 432
Physics news on Phys.org
It looks like that for k=0 they use l'hopital's rule, because when k=0 you have 0/0 (but maybe this is not the limit). I don't know what is k,N,j, etc.
 
Looks kind of sketchy to me. When k=0, they're dividing by zero, so you can't really say the sum is equal to that quotient. It's better if you go back and look at the original series for the k=0 case.
 

Similar threads

  • · Replies 48 ·
2
Replies
48
Views
6K
Replies
2
Views
1K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 9 ·
Replies
9
Views
792
  • · Replies 3 ·
Replies
3
Views
2K
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K