问数学题?谢谢lim根号下(1+X平方)
lim 根号下(1+X平方)-1/sinx=? x→0
x→0时: lim[√(1+x²)-1]/sinx =lim[√(1+x²)-1]/x ×lim(x/sinx) =lim[(1+x²)-1]/{x[√(1+x²)+1]} =lim x/[√(1+x²)+1] =0