Theorem 5

Question 1

lim n->infinity ln(n)/n

Answer 1

0

Question 2

lim n->infinity n^(1/n)

Answer 2

1

Question 3

lim n->infinity x^(1/n)

Answer 3

1 (x>0)

Question 4

lim n->infinity x^n

Answer 4

0, abs(x)<1

Question 5

lim n->infinity (1+ (x/n))^n

Answer 5

e^x

Question 6

lim n->infinity (x^n)/n!

Answer 6

0