IIT JEE , AIEEE Forum - Mathematics , Differential Calculus

joyfrancis

Find

_[n]

_[inf] (n! / nⁿ)^1/n

PRATHAB

it could be written as logy =_{[ n]}

_{[ inf]} (log(1/n)+log(2/n)+ +log(n/n))/n

if n tends to infinity then 1/n tends to dx and r/n tends to x

and so logy = _{[0 ]}

^{[1 ]} logx dx

so log Y = minus infinity and y=0

sugeet

answer 1 is it ???

arpan1

check it here

http://www.goiit.com/posts/list/differenciation-limit-need-help-50688.htm#254541

rate me