40. Which of the choices below give(s) the definition for the convergence of a,? I: for any given e > 0, 3 n(ɛ) E R 3 | a, – al < ɛ Vn2 n(ɛ). II. for any given e > 0, 3 n(ɛ) € N 3 |a, – al < ɛ Vn 2 n(e). III. for any given e > 0,3 n(ɛ) E N 3 a -e < a, < a + ɛ Vn 2 n(ɛ). A. I only B. I and III only C.II only D. I, II and III E. None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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40.
Which of the choices below give(s) the definition for the convergence of a,?
I: for any given e > 0, 3 n(ɛ) E R 3 | a, – al < e Vn 2 n(ɛ).
II. for any given e > 0, 3 n(e) E N 3 | a, – al < e V n 2 n(ɛ).
III. for any given e > 0,3 n(ɛ) E N ɔ a - e < a, < a + ɛ Vn 2 n(ɛ).
A. I only
B. II and II only
C.I only
D. I, II and III
E. None of the above.
Transcribed Image Text:40. Which of the choices below give(s) the definition for the convergence of a,? I: for any given e > 0, 3 n(ɛ) E R 3 | a, – al < e Vn 2 n(ɛ). II. for any given e > 0, 3 n(e) E N 3 | a, – al < e V n 2 n(ɛ). III. for any given e > 0,3 n(ɛ) E N ɔ a - e < a, < a + ɛ Vn 2 n(ɛ). A. I only B. II and II only C.I only D. I, II and III E. None of the above.
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