Math formulas and cheat sheets for Useful Limits

Useful Limits

The General Limit Formulas

If limxaf(x)=l and limxag(x)=m ,then

limxa [f(x)±g(x)]=l±m
limxa [f(x)g(x)]=lm
limxaf(x)g(x)=lm
limxacf(x)=cl
limxa1f(x)=1l

The Common Limits

limx (1+1n)n=e
limx (1+n)1/n=e
limx0 sinxx=1
limx0 tanxx=1
limx0 cosx1x=0
limxa xnanxa=nan1