Limiti notevoli

$${lim}↙{x→0} {sinx}/x=1$$

$${lim}↙{x→0} {tgx}/x=1$$

$${lim}↙{x→0} {1-cosx}/x=0$$

$${lim}↙{x→0} {1-cosx}/x^2=1/2$$

$${lim}↙{x→0} {arcsinx}/x=1$$

$${lim}↙{x→0} {atgx}/x=1$$

$${lim}↙{x→1} {arccosx}/{1-x}=2$$

$${lim}↙{x→∞} (1+1/x)^x=e$$

$${lim}↙{x→∞} (1+x)^{1/x}=e$$

$${lim}↙{x→∞} \;\;lg_a(1+1/x)^x=lg_a e$$

$${lim}↙{x→∞} \;\;ln(1+1/x)^x=1$$

$${lim}↙{x→∞} {ln(1+x)}/x=1$$

$${lim}↙{x→0} x/{lg_a(1+x)}=1/{lg_a e}$$

$${lim}↙{x→0} x/{ln(1+x)}=1/{ln\,e}=1$$

$${lim}↙{x→0} {a^x-1}/x=1/{lg_a e}$$

$${lim}↙{x→0} {e^x-1}/x=1/{ln\,e}=1$$