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Answers for “在评估 $S_n$ 的极限时,为什么要将分子和分母除以 $n^2$?”

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When the degree of the numerator is strictly greater than the degree of the denominator in a rational function, the function grows without bound as the variable approaches infinity. Consequently, the limit is infinity.

Conditions: The function is a quotient of two polynomials.; The degree of the numerator is greater than the degree of the denominator.; The variable approaches infinity.