L=lim f(x) iff for any number ε>0, no matter how

    _^x→c

small there is a number δ>0 such that if x is within δ units of c, but x≠c, then f(x) is within ε units of L.

lim [g(x)*h(x)]=lim g(x)*lim h(x)

_{^{x→c                      x→c          x→c}}

lim [g(x)+h(x)]=lim g(x)+lim h(x)

_{^{x→c                       x→c          x→c}}