Work out limit at infinity instantly with clear inputs, formula shown and shareable results.
For a rational function the behaviour at infinity depends only on the degrees. Lower numerator degree gives 0, equal degrees give the ratio of leading coefficients, and higher numerator degree diverges.
Rational limits at infinity
deg n < deg d → 0; deg n = deg d → leading ratio; deg n > deg d → diverges
The degrees match, so the limit is 3/6 = 0.5.
Dividing through by the highest power sends every lower term to zero, leaving only the leading coefficients.