Question

Does an = [(ln(n))^7]/sqrt(n) converge to 0?

Answer 1

yes i does ... use L'hospital rule

Answer 2

i dont think a sequence converges perse .... but then terminology never was my strong suit

Answer 3

http://mathworld.wolfram.com/ConvergentSequence.html

apparently it can :)

Answer 4

it's reduces to 7! 2^7/sqrt(x) on 7th L'hospital application.

Answer 5

the limit as x goes to infinity is 0, but if you take the sum it does not converge.