数列极限定义
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这个范例演示了数列极限的定义。它涉及的核心数学概念是数列的极限。通过使用 GeoGebra 的 Sequence, Limit, InputBox 等命令，可以构造数列及其极限的图形。适合高中数学教学和学习。
GeoGebra 命令及参数
Textfield(f) → InputBox1Textfield(N) → InputBox2Sequence((n, f(n)), n, 1, N) → list1, {(1, -0.7777777777777778), (2, -1.3076923076923077), (3, -1.588235294117647), (4, -1.7619047619047619), (5, -1.88), (6, -1.9655172413793103), (7, -2.0303030303030303), (8, -2.081081081081081), (9, -2.1219512195121952), (10, -2.1555555555555554), (11, -2.183673469387755), (12, -2.207547169811321), (13, -2.2280701754385963), (14, -2.2459016393442623), (15, -2.2615384615384615), (16, -2.2753623188405796), (17, -2.287671232876712), (18, -2.2987012987012987), (19, -2.308641975308642), (20, -2.3176470588235296), (21, -2.3258426966292136), (22, -2.3333333333333335), (23, -2.3402061855670104), (24, -2.3465346534653464), (25, -2.3523809523809525), (26, -2.3577981651376145), (27, -2.3628318584070795), (28, -2.3675213675213675), (29, -2.371900826446281), (30, -2.376), (31, -2.37984496124031), (32, -2.3834586466165413), (33, -2.386861313868613), (34, -2.3900709219858154), (35, -2.393103448275862), (36, -2.3959731543624163), (37, -2.3986928104575163), (38, -2.4012738853503186), (39, -2.4037267080745344), (40, -2.4060606060606062), (41, -2.408284023668639), (42, -2.4104046242774566), (43, -2.4124293785310735), (44, -2.414364640883978), (45, -2.4162162162162164), (46, -2.417989417989418), (47, -2.4196891191709846), (48, -2.4213197969543145), (49, -2.4228855721393034), (50, -2.424390243902439), (51, -2.425837320574163), (52, -2.427230046948357), (53, -2.4285714285714284), (54, -2.429864253393665), (55, -2.431111111111111), (56, -2.432314410480349), (57, -2.4334763948497855), (58, -2.4345991561181433), (59, -2.4356846473029043), (60, -2.436734693877551), (61, -2.4377510040160644), (62, -2.438735177865613), (63, -2.4396887159533076), (64, -2.4406130268199235), (65, -2.4415094339622643), (66, -2.442379182156134), (67, -2.4432234432234434), (68, -2.444043321299639), (69, -2.4448398576512456), (70, -2.4456140350877194), (71, -2.4463667820069204), (72, -2.4470989761092152), (73, -2.4478114478114477), (74, -2.4485049833887045), (75, -2.4491803278688526), (76, -2.4498381877022655), (77, -2.450479233226837), (78, -2.451104100946372), (79, -2.4517133956386292), (80, -2.4523076923076923), (81, -2.452887537993921), (82, -2.4534534534534536), (83, -2.4540059347181007), (84, -2.4545454545454546), (85, -2.455072463768116), (86, -2.4555873925501435), (87, -2.456090651558074), (88, -2.4565826330532214), (89, -2.457063711911357), (90, -2.4575342465753423), (91, -2.4579945799457996), (92, -2.4584450402144773), (93, -2.4588859416445623), (94, -2.459317585301837), (95, -2.4597402597402596), (96, -2.4601542416452444), (97, -2.460559796437659), (98, -2.46095717884131), (99, -2.4613466334164587), (100, -2.4617283950617286)}