Question

converges or diverges??
ln(n)/ln(n+1)...can we use the ratio test here?

Answer 1

this actually converges...and by ratio test u mean?

Answer 2

ratio test would be difficult to use.try using the comparison test

Answer 3

i was jus wondering if we could use it here..i tried, and it didnt really simplify

Answer 4

ok, ill try that, thanks

Answer 5

to figure out if a sequence converges, u actually take the limit n->infinity and see if u get a finite number,if u do then the sequence is converging as n tends to infinity.
now,here wen u apply n->infinity u find that both numerator and denominator are nearly same and hence will attain a limt 1. therefore converging.

Answer 6

misha,did u understand the concept i told u? it'll be very handy wen ur attempting exams, for cross-checking ur answers.

Answer 7

yes i did...i jus did l'hospitals rule n checks out..thank you!