Two days ago a friend of mine shared with me a question stating that I couldn't solve that question and neither will anyone on Brilliant .

Darn him ! But he turned out to be partially correct , since I wasn't able to solve it and hence I am appealing to all the Brilliant minds out here to lend me your hand in solving the following question :

\[\displaystyle \huge \sum_{r=1}^{\infty} \sqrt{ \int_{0}^{\frac{\pi}{2}} \left ( 5+ \Gamma \left ( \dfrac{2}{2+x^{2r}} \right ) \right ) dx}\]

P.S. I tried using the Weirerstrass form and stuff , but was unsuccessful . I even posted this question in 3 communities in Google Plus , ends up that they got scared after seeing this question !

Best of Luck !!!

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestIs this gamma function, because if that is gamma function, then this sum doesn't converge.

Log in to reply

Yeah, I also think so!

Log in to reply

Ok, sorry guys !! I didn't do the convergence test first !! I always forget to do it

Log in to reply

What's the claim that it converges?

Log in to reply

@Azhaghu Roopesh M , are you sure this question is solvable? Take it from a guy with experience, I once spent a whole day trying to prove Fermat's last theorem after my friend told me that I will never be able to solve it. Of course, I got to know that it was way out of my league the next day.

Log in to reply

Turns out the sum doesn't converge , sorry !!

Tell me more about your trying to prove the Last theo , now you've got me interested :D

Log in to reply

Can you please tell me something about that friend of yours, Is he studying in colledge, studying calculus. @Azhaghu Roopesh M

Log in to reply

Actually he's also in Class 12 and it was he who gave me that Find it's closed form question .

Log in to reply

Comment deleted Mar 14, 2015

Log in to reply

The sum doesn't converge.

Log in to reply

Yes, sorry abt that ! I didn't do the convergence test

Log in to reply

Sorry Azhaghu i only know the basics of calculus.And its would be very hard for me to figure out this question...And I think there is a small typo in your mentioning...probably you mentioned Karthik instead of Kartik(I think)..Thanks

Log in to reply

Ah , yes .

Log in to reply