作业帮lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?,
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lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?,
lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?,
lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?,
1.|x|>1,即x1
lim(n趋向于正无穷)(x^n-1)/(x^n+1)
=lim(n趋向于正无穷)(1-1/x^n)/(1-1/x^n)
=1
2.-1
当x<-1或x>1，原式=lim(n趋向于正无穷)[1-(1/x)^n]/[1+(1/x)^n]=(1-0)/(1+0)=1
当x=-1，原式=lim(n趋向于正无穷)[(-1)^n-1]/[(-1)^n+1] 极限不存在
当-1
lim(n->无穷){(x^n-1)/(x^n+1)}
=lim(n->无穷){1-2/(x^n+1)}
if |x|<1
lim(n->无穷){1-2/(x^n+1)}
=1-2 =-1
if |x|>=1
lim(n->无穷){1-2/(x^n+1)}
=1-0 =1
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