Vault Of Euclid

Limit of a Rational Sequence

Polar coordinates warmup

\(a_{n}=\frac{4n+5}{n^{3}-2n+3}\)
limit-of-sequencerational-functionasymptotic-behaviorcalculus-iisequenceslimits-at-infinitydivide-by-highest-powerevaluate-limit

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

What this problem tests

Tests the ability to evaluate limits of rational functions at infinity.

This is a standard introductory problem in calculus courses covering sequences and series.

More on Polar coordinates