求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)

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求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)
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求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)
求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)

求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)
(n+1)(根号n^2+1-n)*(根号n^2+1+n)/(根号n^2+1+n)
=(n+1)*1/(根号n^2+1+n)
上下同时除以n
=(1+1/n)/(根号1+1/n^2+1/n)
=1/1=1