Determine whether the sequence converges or diverges. If it converges, find the limit. an = 9 + 14n2 n + 15n2 Step 1 To find lim n → [infinity] 9 + 14n2 n + 15n2 , divide the numerator and denominator by the highest power of n that occurs in the fraction. This is n .

Step-by-step explanation:

Given the sequence

To find the limit of the sequence, we will first divide the numerator and the denominator through by the highest power of n which is n² as shown;

As tends to , tends to zero where n is any constant, The limit of tyhe sequence as n tends to infinity becomes;

Therefore

Since the limit of the sequence gave a finite number , the sequence converges.

Note that the only case when the sequence diverges id when the limit of the sequence is infinite