а) lim (x->00) (5x^4+x^3+7x)/(7x^3-5+2x)=

=lim(x->00) ((5x^4/x^4)+(x^3/x^4)+(7x/x^4))/(7x^3/x^4)-(5/x^4)+(2x/x^4)=

=(5+1/x+7/x^3)/(7/x-5/x^4+2/x^3)= 5/б.м=00


б) lim(x->00) (4x^5-7x^2+7)/(5x^5-2x+5)=4/5


в) lim (x->5) 10x/(x^2-25)=00

г) lim(x->00)(1+1/x)^7/x=lim(x->00) (1+1/x)^7x^-1=

lim(x->00) (1+1/x)^(x*1/x*7*1/x)=e^(lim(x->00) 7/x^2=1