[* رولا *]

Lim[x~>0] sin(5x) / sin(8x)
Lim[x~>0] sin(5x) * Lim[x~>0] 1/sin(8x)
Lim[x~>0] sin(5x)/x * Lim[x~>0] x/sin(8x)
5*Lim[x~>0] sin(5x)/(5x) * (1/8)Lim[x~>0] 8x/sin(8x)
5*Lim[x~>0] sin(5x)/(5x) * (1/5)( Lim[x~>0] sin(8x) / (8x) )^-1
= 5* 1 * (1/8)( 1 )^-1
= 5/8