Sequence Limit Definition

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2018-04-05 15:35

Function Sequence Limit

This example demonstrates the definition of sequence limits. It involves the core mathematical concept of sequence limits. Using GeoGebra commands such as Sequence, Limit, and InputBox, the construction of sequence and its limit graph is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

Textfield(f) → InputBox1
Textfield(N) → InputBox2
Sequence((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)}