lim(√(n2+2n)-n) 当n趋向无穷时
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lim(√(n2+2n)-n)当n趋向无穷时lim(√(n2+2n)-n)当n趋向无穷时lim(√(n2+2n)-n)当n趋向无穷时lim[√(n²+2n)-n,n->∞]分子分母同时乘以(
lim(√(n2+2n)-n) 当n趋向无穷时
lim(√(n2+2n)-n) 当n趋向无穷时
lim(√(n2+2n)-n) 当n趋向无穷时
lim [ √(n²+2n) - n,n->∞] 分子分母同时乘以 (√(n²+2n) + n)
= lim [ (2n) / (√(n²+2n) + n) ,n->∞]
= lim [ 2 / (√(1+2/n) + 1) ,n->∞]
= 2/2 = 1
lim(√(n2+2n)-n) 当n趋向无穷时
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