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Finding limit LiMn →∞ (n-1) ^ 2 / (n + 1) Limit: LiMn →∞ (n-1) ^ 2 / (n + 1) Is to find the limit of the square of (n-1) divided by (n + 1) when n approaches infinity I think we can use that formula, that is, n tends to infinity, and the limit is determined by the degree of N, because the upper side is the square of N, and the lower side is the first power of N, so I think it should be ∞ But the answer is + ∞. How does that work out? The upper part of the fractional line should be approaching positive infinity. Will the positive infinity of the answer come like this This is not a series limit problem, just a common function limit problem, there should be no statement that n must approach positive infinity, right?
In the typical limit of sequence, n is the number of items, only 1, 2, 3 So the answer is + ∞
As for the problem of N, there is a default of taking positive integer in higher mathematics. Generally, there is no declaration in the title, and in higher mathematics, n is almost always used in this way. Therefore, there is no error in the answer
If it is a function, it will not use n as an independent variable. This is the unified default rule in higher mathematics, including the postgraduate entrance examination questions, it is also not declared and directly determined that n tends to be positive infinity
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