Question

无穷小等价代换公式

Answer 1

=lim x(x^2+100-x^2)/[(x^2+100)^1/2 - x]

=100 * lim x/[-x(1+100/x^2)^1/2 - x]

=100 * lim 1/[-(1+100/x^2)^1/2 - 1]

=100 * 1/[-(1+0)^1/2 - 1]

=-100 * 1/2

=-50