计算lim根号下(7x^2-3sin^2x)/(4x+1)
问题描述:
计算lim根号下(7x^2-3sin^2x)/(4x+1)
x趋向于无穷大,根号下不包括分母。是sin平方x.
答
lim根号下(7x^2-3sin^2x)/(4x+1)J = LIM(x→∞) √(7x^2-3sin^2x)/(4x+1)= LIM(x→∞) √(7x^2)/(4x)= √7/4 多写几步:√(7x^2-3sin^2x)/(4x+1)=√[x^2(7-3sin^2x/x^2)] / (4x+1)= x √[(7-3sin^2x/x^2)] / [x(4+1...