Х-2/х^2-1=1-2х/х^2-1
х-2=1-2х
х-2+2х=1
3х-2=1
3х=1+2
3х=3
х=3:3
х=1
40000/100=40
40*7=2800
2800*2=5600
40000+5600=45600
Lim(cos x)^(ctg 2x/sin 3x)=..., x-2pi=t t-------------->0 x=t+2pi<span>
x->2pi </span>x->2pi
=Lim(cos( t+2pi))^(ctg(2(t+2pi)/sin3(t+2pi)) =Lim(cos( t))^[ctg (2t)/sin 3(t)]=
t-->0 t-->0
=e^{Lim[ctg (2t)/sin 3(t)]·ln(cos t)}=e^{Lim[1/(2t·3t)]·ln[(cos t-1)+1]}=
t-->0 t-->0
=e^{Lim[1/(6t²)]·[cos t-1]}=e^{Lim[1/(6t²)]·[-2sin²(t/2)]}=e^{Lim[1/(6t²)]·[-t²/2)]}=
t-->0 t-->0 t-->0
=e^{Lim[1/(6)]·[-1/2)]}=e^(-1/12)
t-->0
v18*v30=v540=v(36*15)=6v15
6v15*80=480v15