Question

X趋近于零的时候x的零次方的极限等于多少？

Answer 1

x→0 就是不等于 0，直接代入得 x^0 = 1.
若是 lim<x→0+>x^x
则 lim<x→0+>x^x = lim<x→0+>e^(xlnx)
= e^lim<x→0+>xlnx = e^lim<x→0+>lnx/(1/x) (∞/∞)
= e^lim<x→0+>(1/x)/(-1/x^2) = e^lim<x→0+>(-x) = e^0 = 1

Answer 2

x→0 就是不等于 0，直接代入得 x^0 = 1.若是 lim<x→0+>x^x 则 lim<x→0+>x^x = lim<x→0+>e^(xlnx)= e^lim<x→0+>xlnx = e^lim<x→0+>lnx/(1/x) (∞/∞)= e^lim<x→0+...

Answer 3

x→0 就是不等于 0，直接代入得 x^0 = 1.若是 lim<x→0+>x^x 则 lim<x→0+>x^x = lim<x→0+>e^(xlnx)= e^lim<x→0+>xlnx = e^lim<x→0+>lnx/(1/x) (∞/∞)= e^lim<x→0+...

Answer 4

x→0 就是不等于 0，直接代入得 x^0 = 1.若是 lim<x→0+>x^x 则 lim<x→0+>x^x = lim<x→0+>e^(xlnx)= e^lim<x→0+>xlnx = e^lim<x→0+>lnx/(1/x) (∞/∞)= e^lim<x→0+...