Question

(a^x+b^x+c^x)^1/x的极限 X趋近正无穷

Answer 1

结果是c

[c^x(1+(a/c)^x+(b/c)^x)]^(1/x)=c(1+(a/c)^x+(b/c)^x)^(1/x)=c

因为(a/c)^x,(b/c)^x->0

而1/x->0

所以c*1^0=c