4. In the Euclidean space R2, give example of a sequence: (i) which is located on the quartic parabola x2 = x1, contains infinitely many different points, and converges to the limit (2, 16) (ii) which includes each of the points (1, 0), (—½, ³), (−½, many times. 2 [10 Marks] ³) infinitely [10 Marks]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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4. In the Euclidean space R2, give example of a sequence:
(i) which is located on the quartic parabola x2 = x1, contains infinitely
many different points, and converges to the limit (2, 16)
(ii) which includes each of the points (1, 0), (—½, ³), (−½,
many times.
2
[10 Marks]
³) infinitely
[10 Marks]
Transcribed Image Text:4. In the Euclidean space R2, give example of a sequence: (i) which is located on the quartic parabola x2 = x1, contains infinitely many different points, and converges to the limit (2, 16) (ii) which includes each of the points (1, 0), (—½, ³), (−½, many times. 2 [10 Marks] ³) infinitely [10 Marks]
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