确定是x→∞ 这样极限时0/∞型=0 如果是x→0有:
lim(x→0 )[f(tx)-f (x)]/x (0/0 洛必塔法则)
=lim(x→0 )[t*f'(tx)-f'(x)]
=t*f'(0)-f'(0) (代入x=0)
=(t-1)f'(0)
确定是x→∞ 这样极限时0/∞型=0 如果是x→0有:
lim(x→0 )[f(tx)-f (x)]/x (0/0 洛必塔法则)
=lim(x→0 )[t*f'(tx)-f'(x)]
=t*f'(0)-f'(0) (代入x=0)
=(t-1)f'(0)