limx函数极限为多少

limx→∞ x(√(x＾2+1)-x)

=limx→∞ x(x＾2+1-x＾2)/(√(x＾2+1)+x)

=limx→∞ x/(√(x＾2+1)+x)

=limx→∞ 1/(√(1+1/x＾2)+1)

=1/2