(2^n+4^n+6^n+8^n)^(1/n)当n趋于无穷时的极限

(2^n+4^n+6^n+8^n)^(1/n)当n趋于无穷时的极限
(2^n+4^n+6^n+8^n)^(1/n)当n趋于无穷时的极限

(2^n+4^n+6^n+8^n)^(1/n)当n趋于无穷时的极限
将8从括号里提出来
lim[n→∞] (2^n+4^n+6^n+8^n)^(1/n)
=lim[n→∞] 8[(1/4)^n+(1/2)^n+(3/4)^n+1]^(1/n)
=8(0+0+0+1)º
=8
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8