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n lim n→∞i=1Σnkf iqnp≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠型极限的计算公式及其应用
n lim n→∞i=1Σnkf iqnp≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠≠형겁한적계산공식급기응용
The Formula on Limitation of limn→∞ ni=1Σnkf iqnp≠ ≠Type and Its Application

万方数据

南通职业大学学报南通職業大學學報 남통직업대학학보
JOURNAL OF NANTONG VOCATIONAL COLLEGE
2014年 3期 86-88 ,共3页

杜秀清杜秀清

두수청

和式极限%积式极限%函数%可导和式極限%積式極限%函數%可導
화식겁한%적식겁한%함수%가도
finite sums limit%product type limits%function%derivable

对p＞q≥0情形下，形如limn→∞ ni=1Σnkf iqnp≠≠的一类和式极限，给出并证明了其计算公式。该公式在求解这类极限时具有计算简便、适用面宽等优点，进一步还可运用于可化为这类和式极限的积式极限的计算。
대p＞q≥0정형하，형여limn→∞ ni=1Σnkf iqnp≠≠적일류화식겁한，급출병증명료기계산공식。해공식재구해저류겁한시구유계산간편、괄용면관등우점，진일보환가운용우가화위저류화식겁한적적식겁한적계산。
Under the circumstances of p > q ≥ 0, the finite sums limit is shaped like limn→∞ ni=1Σnkf iqnp≠ ≠, this paper presents and proves its formula. This formula has the advantages of simple calculation with wide appli-cability and can also be applied to the calculations of this product type limit.