limn趋近于无穷2·5^n+3^n/5^n+1+2^n+1
问题描述:
limn趋近于无穷2·5^n+3^n/5^n+1+2^n+1
答
lim(n→∞)(2·5^n+3^n)/[5^(n+1)+2^(n+1)]
=lim(n→∞)[2+(3/5)^n]/[5+2*(2/5)^n]
=(2+0)/(5+0)
=2/5
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