Question

Find the limits as n tends to infinity of the sequences with the following terms:

an=(1/4^n)
an=(2^n+3^n)/3^n
an=(3n^2+1)/(n^3+2)

So for the first one i figure its gna tend to o bc the bottom is just gnaa get larger. But what about the other two? Can i use the algebra of limits? So for the second one, work out what the top converges to, and the bottom, and then work it as a whole?