Use the definition of limit to prove that both of the sequences {1/√n} and {(-1)^n/√n} converges to 0.

Answer 1

For E>0, 0 < n < 1/ E^2

--> 0 < 1/n < E^2

--> -E < 1/sqrt(N) <E

(-1)^n changes the inequalities for odd N