Vault Of Euclid

Limit of a Rational Sequence Diverging to Infinity

Polar coordinates warmup

\(a_{n}=\frac{2n^{5}-3n+20}{5n^{4}+2}\)

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What you need first

Evaluating limits at infinity
Algebraic manipulation of rational expressions
Understanding of sequence convergence and divergence

What this problem tests

Tests the ability to evaluate limits of rational functions at infinity by identifying and dividing by the dominant term in the denominator.

This is a standard introductory problem in a Calculus II or Real Analysis course when first covering the convergence and divergence of sequences.

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