Calculus help

[txrandom]

Is their a formula for the summation of the following:

1/1 + 1/2 + ... + 1/(k-1) + 1/(k)

I need to use it in a homework problem, but I can't figure it out in the first place.

It looks like it will be something like : (something)/k!


Thanks.

 

[Lorax]

sigma something?

 

[Eeezee]

(Summation sign from n=1 to n=k) of 1/n ? Is that what you mean?

 

[txrandom]

Yes, Eeezee. I'm trying to find an equation for that. I could have sworn I've seen one before, but it's possible it doesn't exist.

 

[silverpig]

Originally posted by: Eeezee
(Summation sign from n=1 to n=k) of 1/n ? Is that what you mean?

Yeah, but I think he wants the formula for the result, not the expression.

 

[JohnCU]

google is a powerful force.

 

[txrandom]

Like Summation n=1 to n=k of n = n(n+1) / 2

 

[txrandom]

I couldn't find anything with Google. 🙁

 

[jmcoreymv]

-

 

[JohnCU]

http://planetmath.org/encyclopedia/Running.html

i found that with google.

 

[txrandom]

I'm not seeing the summation I'm looking for on that page.

 

[JohnCU]

http://www.cs.fsu.edu/~cop4531...show/chapter3/3-1.html

 

[txrandom]

Thanks, do you happen to know what O(1) stands for?

 

[JohnCU]

Originally posted by: txrandom
Thanks, do you happen to know what O(1) stands for?

i'm trying to remember, my calc book is at work, i'll do some more searching

 

[JohnCU]

http://answers.google.com/answers/threadview?id=780243

 

[txrandom]

I'm guessing it means Big-O(1), but I'm not really sure how that applies. There might not be a straight answer for it. Don't bother searching anymore unless you're interested in finding the solution. I'll wait to ask the teacher tomorrow. Thanks for the help.

 

[txrandom]

Thank you, that's what I needed.

 

[JohnCU]

it's sad that i used to know this 3 years ago. use it or lose it i guess. good luck.

 

[FleshLight]

e^n?