Evaluate limx→0(1+x)n−1−nxx2\lim_{x \to 0} \frac{(1+x)^n - 1 - nx}{x^2}limx→0x2(1+x)n−1−nx for integer n≥2n \geq 2n≥2.
n(n−1)2\frac{n(n-1)}{2}2n(n−1)
nnn
n22\frac{n^2}{2}2n2
000