A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
How to find the sum of k^2/k! from 0 to infinity?
anonymous
 4 years ago
How to find the sum of k^2/k! from 0 to infinity?

This Question is Closed

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0if there was a pattern we could find from the partial sums, that could be useful; but its still a shot in the dark

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Can i use the fact that the sum of 1/k! from 0 to infinity is e1

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0i cant say for sure .... you can give it a shot and then verify it with the wolf

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0you can try taking the partial sums up to some arbitrary point, and then averaging the integrals of the remainder

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0but i got no idea how to intgegrate a factorial at the moment

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0\[e=\frac1{0!}+\frac1{1!}+\frac1{2!}+\frac1{3!}+\frac1{4!}+\frac1{5!}+...\] \[k^2e=k^2\left(\frac1{0!}+\frac1{1!}+\frac1{2!}+\frac1{3!}+\frac1{4!}+\frac1{5!}+...\right)\] pfft, theres prolly something wrong with my idea on that one

sirm3d
 4 years ago
Best ResponseYou've already chosen the best response.2\[\large \frac{ k^2 }{ k! }=\frac{k(k1+1)}{k!}=\frac{k(k1)}{k!}+\frac{k}{k!}=\frac{1}{(k2)!}+\frac{1}{(k1)!}\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.