求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)

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求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)求极限lim(n→∞)(a^n+(-b)

求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)
求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)

求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1)
n→+∞时
[a^n+(-b)^n]/[a^(n+1)+(-b)^(n+1)]
={[1+(-b/a)^n]/[a-b(-b/a)^n]→1/a,|a|>|b|;
.{[(-a/b)^n+1]/[a(-a/b)^n-b]→-1/b,|a|

你还有条件吗?如a,b的取值范围,括号是否对了?