The equation holds for all positive integers n 3

3. Prove using the definition of convergence (that is, give an “ - N ” argument to
show) that the given sequential limits are correct.
(a) Prove that lim
n →∞
5 n + 4
3 n - 1
=
5
3
.

(b) Prove that lim
n →∞

(c) Prove that lim
n →∞