rational function
definition and properties - see
Functions - Theory - Elementary functions - Polynomials
decomposition into partial fractions - see
Integrals - Methods Survey - Methods of integration - Partial fractions
integral of - see
Integrals - Methods Survey - Methods of integration - Rational function
and limits - see
Functions - Theory - Limit - Intuitive evaluation
and
this note
on cancelling at infinity, also
Functions - Methods Survey - Limit - Polynomials at proper points
proper rational function - see
Functions - Theory - Elementary functions - Polynomials
scale of powers (functions) - see
Functions - Theory - Limit - Intuitive evaluation
scale of powers (sequences) - see
Sequences - Theory - Limit - Intuitive evaluation
and
this note
and sequences - see
Sequences - Theory - Limit - Intuitive evaluation
and
this note
on cancelling