Sequencesssssssss

Question

Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. an=(5n^2+n+2)/(2n^2−3)

lim a(n)→∞a(n) = ?

Answer 1

The numerator divided by "n²" is 5 + 1/n + 2/n²

As n →∝, the numerator → 5.

The denominator divided by "n²" is 2 - 3/n²

As n → ∝ the denominator → 2

The limit of the sequence is 5 / 2.

Answer 2

Divide the numerator and denominator by n² to see that the sequence converges to 5/2