Tutorial Exercise

Determine whether the sequence converges $or$ diverges. $Ifit$ converges, find the $limit.$

$a_n=\frac{3+12n^2}{n+15n^2}$

Step $1$

$To$ find $\underset{n}{lim}\frac{3+12n^2}{n+15n^2},$ divide the numerator and denominator $by$ the highest power $ofn$ that occurs $in$ the fraction. This $isn$