When presented with limits to infinity, you are usually given a fraction that is similar to p(x)/q(x). When this occurs, there are three rules you must follow that will make your answers so much easier!
If n > m your limit is 0
If n = m your limit is the numerator/denominator
If your n > m your limit does not exist
n = power of the numerator
m = power of the denominator
For example
lim 2x+1/x^2
x -> infinity
n < m = limit = 0
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