21plz tell me where u get this question.
for n = 200 the integral is ≈0.97
you make n slightly large say greater than 2000 it will be 1
so there are infinite n
No indefinite integral exists for this function
*I used wolfram|alpha
4 Answers
21
1wolfram gives approx answers , you can only say that the value of the integral reaches 1 as ngrows , but you cant say it equals 1 infinitely many times , since it is not periodic .
1My answer - The Golden Ratio .
It is discussed here -
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=67&t=417220
However , the solution posted there is not a " solution " , rather an observation , as we cannot claim to have solved the equation fully .
I have been able to sketch a proof , but it is , as usual , way too complex . Kindly notify me if you want the solution .
21have u solved the equation involving gamma functions ? or any other way...
please post the solution
i m very curious to see what you have done..