lim      (1+ f(x)) ^1/f(x)= e

^{x-> x}

daca lim f(x)=+

^{x-> x}₀

lim xⁿ/a^x=0

^{x-> x}

n I N, a>1

lim ln(1+f(x))/f(x)=1

^{x-> x}

lim f(x)=0

^{x-> x}

lim (a^f(x)-1)/f(x)=ln a

^{x-> x}

daca lim f(x)=0

^{x-> x}

lim [(1+x)^r-1)]/x=r

^{x-> x}

lim sin f(x) / f(x)=1

^{x-> x}

daca lim f(x)=0

^{x-> x}

lim (e^f(x)-1)/f(x)=1

^x->0

daca lim f(x)=0

^{x-> x}

- lim de functii rationale in puncte finite a

Se face simplificarea prin (x-a)^k

- lim de functii in compunere cu functia modul

Se expliciteaza modulul

- sub radical de ordine diferite figureaza aceeasi expresie

Se schimba variabila, notandu-se radicalul de ordin egal cu cel mai mic multiplu comun al ordinelor radicalilor cu alta variabila

- sub radical figureaza expresii diferite

Se amplifica numaratorul si (sau) numitorul cu expresia conjugata

- lim trigonometrice

lim sin f(x) / f(x)= lim tg f(x) / f(x)= lim arcsin f(x) / f(x)= lim arctg f(x) / f(x)=1

^{x-> x x-> x x-> x x-> x}

- lim de functii rationale

Se aduce la acelasi numitor

- lim de functii irationale

Se amplifica cu conjugata

lim      (1+ f(x)) ^1/f(x)= e

^{x-> x}

lim x*ln x=0 si scrierea f^g=e ^{g* ln f}

^x>0