Definition of a Limit using Sequences

Question 1

For lim_n->inf(a_n) = l, then n > N or n < N?

Answer 1

n > N

Question 2

For lim_n->inf(a_n) = l, then |a_n - ___ | < ___?

Answer 2

l, epsilon

Question 3

If N > 1/epsilon and n > N, then?

Answer 3

1/n < 1/N < epsilon

Question 4

If 1/n < 1/N < epsilon, then?

Answer 4

lim_n->inf(1/n) = 0

Question 5

lim_n→inf(sqrt(n + 1) - sqrt(n)) = ?

Answer 5

0