求极限n→∞lim[(2²ⁿ-8)/(4ⁿ+3ⁿ)]
原式=n→∞lim[(4ⁿ-8)/(4ⁿ+3ⁿ)=n→∞lim{(1-8/4ⁿ)/[1+(3/4)ⁿ]}=1
因为n→∞时,8/4ⁿ→0;(3/4)ⁿ→0.
lim(n→∞) 2的2n次方-8/4n次方+3n次方
lim(n→∞) 2的2n次方-8/4n次方+3n次方
数学人气:489 ℃时间:2019-12-22 23:40:14
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