当n趋向于无穷时,求极限n[ln(2n)-ln(2n-1)],提示利用等价无穷小.
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当n趋向于无穷时,求极限n[ln(2n)-ln(2n-1)],提示利用等价无穷小.
当n趋向于无穷时,求极限n[ln(2n)-ln(2n-1)],提示利用等价无穷小.
当n趋向于无穷时,求极限n[ln(2n)-ln(2n-1)],提示利用等价无穷小.
nln[(2n)/(2n-1)]=ln[(2n)/(2n-1)]^n=ln[1/(1-1/2n)^n]=ln[1/e^(-1/2)]=1/2
当n趋向于无穷时,求极限n[ln(2n)-ln(2n-1)],提示利用等价无穷小.
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