数列与级数：几何与三角函数的综合应用

GeoGebra 命令及参数

1. Textfield(f) → InputBox1
2. Sequence(a, a, 1, n) → l1, {1}
3. Sequence(f(b), b, 1, n) → l2, {2}
4. UpperSum(f, 1, n, n - 1) → a
5. Limit(f, Infinity) → c
6. Textfield(e) → InputBox2
7. Textfield(g) → InputBox3
8. Sequence(f(w), w, 1, 1000) → l4, {2, 1.5, 1.3333333333333333, 1.25, 1.2, 1.1666666666666667, 1.1428571428571428, 1.125, 1.1111111111111112, 1.1, 1.0909090909090908, 1.0833333333333333, 1.0769230769230769, 1.0714285714285714, 1.0666666666666667, 1.0625, 1.0588235294117647, 1.0555555555555556, 1.0526315789473684, 1.05, 1.0476190476190477, 1.0454545454545454, 1.0434782608695652, 1.0416666666666667, 1.04, 1.0384615384615385, 1.037037037037037, 1.0357142857142858, 1.0344827586206897, 1.0333333333333334, 1.032258064516129, 1.03125, 1.0303030303030303, 1.0294117647058822, 1.0285714285714285, 1.0277777777777777, 1.027027027027027, 1.0263157894736843, 1.0256410256410255, 1.025, 1.024390243902439, 1.0238095238095237, 1.0232558139534884, 1.0227272727272727, 1.0222222222222221, 1.0217391304347827, 1.0212765957446808, 1.0208333333333333, 1.0204081632653061, 1.02, 1.0196078431372548, 1.0192307692307692, 1.0188679245283019, 1.0185185185185186, 1.018181818181818, 1.0178571428571428, 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1.0011520737327189, 1.001150747986191, 1.0011494252873563, 1.0011481056257177, 1.0011467889908257, 1.0011454753722795, 1.0011441647597255, 1.0011428571428571, 1.0011415525114156, 1.001140250855188, 1.001138952164009, 1.0011376564277588, 1.0011363636363637, 1.0011350737797957, 1.0011337868480725, 1.001132502831257, 1.001131221719457, 1.001129943502825, 1.0011286681715577, 1.0011273957158964, 1.0011261261261262, 1.001124859392576, 1.001123595505618, 1.001122334455668, 1.001121076233184, 1.0011198208286674, 1.0011185682326622, 1.0011173184357542, 1.0011160714285714, 1.0011148272017838, 1.0011135857461024, 1.0011123470522802, 1.001111111111111, 1.0011098779134295, 1.001108647450111, 1.0011074197120708, 1.0011061946902655, 1.0011049723756906, 1.0011037527593818, 1.0011025358324146, 1.001101321585903, 1.001100110011001, 1.001098901098901, 1.0010976948408343, 1.0010964912280702, 1.0010952902519168, 1.00109409190372, 1.0010928961748633, 1.0010917030567685, 1.0010905125408942, 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1.0010330578512396, 1.001031991744066, 1.0010309278350515, 1.0010298661174046, 1.0010288065843622, 1.0010277492291881, 1.0010266940451746, 1.001025641025641, 1.0010245901639345, 1.0010235414534288, 1.0010224948875255, 1.0010214504596526, 1.0010204081632652, 1.001019367991845, 1.0010183299389002, 1.0010172939979654, 1.0010162601626016, 1.001015228426396, 1.0010141987829615, 1.0010131712259371, 1.0010121457489878, 1.0010111223458038, 1.001010101010101, 1.0010090817356205, 1.001008064516129, 1.001007049345418, 1.0010060362173039, 1.0010050251256282, 1.001004016064257, 1.0010030090270812, 1.001002004008016, 1.001001001001001, 1.001}
9. UpperSum(f(x), 1, 1000, 1000) → i
10. Textfield(h) → InputBox4
11. Textfield(j) → InputBox5