Higher mathematics

Limits

Numeric limits of functions and sequences.

Higher mathematics

Two-sided expression limit

lim(x→a) f(x)→
Higher mathematics

Left-hand expression limit

lim(x→a−) f(x)→
Higher mathematics

Right-hand expression limit

lim(x→a+) f(x)→
Higher mathematics

Expression limit at positive infinity

lim(x→+∞) f(x)→
Higher mathematics

Expression limit at negative infinity

lim(x→−∞) f(x)→
Higher mathematics

Quadratic polynomial limit

lim f(x) = ax₀² + bx₀ + c→
Higher mathematics

Difference of squares limit

lim(x→a) (x²−a²)/(x−a) = 2a→
Higher mathematics

Rational function limit at infinity

lim (ax²+…)/(bx²+…) = a / b→
Higher mathematics

Sequence c over n

aₙ = c / n; lim aₙ = 0→