Question

Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2

, or state that the limit does not exist.
a.1
b.0
c. 3
d. limit does not exist

Please select the best answer from the choices provided

Answer 1

b. 0

Explanation:

The expression can be rewritten as:

`A_(n) = (5\cdot n)/(n^(2)) + ((-1)^(n))/(n^(2))`

As n becomes greater and begins diverging to infinity, each component of the sum converges to zero. Then, the limit of the sequence is zero.