We have `underset(xtooo)lim(sqrt(25x^(2)-3x)+5x)" "(oo-oo"form")` `=underset(ytooo)lim(sqrt(25y^(2)+3y)-5y),"where "y=-x` `=underset(ytooo)lim(25y^(2)+3y-25y^(2))/(sqrt(25y^(2)+3y)+5y)` `=underset(ytooo)lim(3y)/(sqrt(25y^(2)+3y)+5y)` `=underset(ytooo)lim(3)/(sqrt(25+(3)/(y))+5)=(3)/(5+5)=(3)/(10)`
