TargetIIT

SIR YEH TO KUCHH IIT WAALE QUES JAISE LAG RAHA RAHA HAI
ITS A VERY GOOD 1
SO LETS THINK[12][12][12]

Nice opportunity to ask something......how to convert summation to integral??

Do the 1 and n in this question become the lower and upper limits??

and does the tan[p]-1[/p].... become the function to integrate??

NO!!!!!!1 NEVER

@anirudh that can be done only when n→∞

this cannot be used here

here i think separate the term inside tan[p]-1[/p]

For doing that you must be able to convert the summand to the form

[im]http://codecogs.izyba.com/gif.latex?%5Clim_%7Bn%20%5Crightarrow%20%5Cinfty%7D%20%5Csum_%7Bk%3D1%7D%5En%20%5Cfrac%7B1%7D%7Bn%7D%20f%5Cleft%28%5Cfrac%7Bk%7D%7Bn%7D%5Cright%29[/im]


See if that is possible here

tapan, u sound as if u are having a heart attack!!!

wel i think we shud convert it into d form tan[p]-1[/p]A-tan[p]-1[/p]B.....and all will be cancelled except sum terms and it will be easy to calculate........BUT IM NOT GETTIN IT

ruk
chal main bhi aa gaya[4]
waise i thought like u akand

ans...

tan(inverse)(2n^2+2n)

wel manipal thts a standard method hehehe [3][3][3]

deepansh - answer is close. maybe there is a typo in your post

I think this question was the first time i realised how good Prophet sir actually is :)

The proof i remember was so over the top (of my head) that i realised that I wud not have able to think the logic myself. :)

btw this is not even close to his best ;)

wow! that was real fast. I almost spent a whole night wondering what to do! Good Job bro

THIS IS A GR8 DAY FOR ME :

GETTING PRAISED FRM "PROPHET SIR" is a real honour!! [1]

thank you Sir

lets request nishant sir to colour it deep red coz tapan is blushing!!

he he [1]

ya i missed out sumthin