Question

sequence..(1+1/2n)^n..converge or diverge??
work..
ln An = n * ln(1+1/2n)
lim of n = infinity
lim of ln(1+1/2n) = 0
soo can i say the limit of ln An is infinity*0 = 0..???

Answer 1

no

Answer 2

you must take the the n in the denominator , and apply la hopitals rules

Answer 3

because its an indeterminate form , infinity times zero

Answer 4

and remember that the answer you get for the limit will not be the final answer , it will be e^A , where A is whatever the limit is