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- Let Σa, and Σb, are two infinite series such that 0 Sa, sb, thes a) ifa, converges then Σb, converges.. if diverges thea Σa, diverges. e) if Σb, converges then Σa, converges. d) if Σa, converges then Σb, diverges. (Ft) by a field and f(x) be irreducible polynomial in F(x) then

- Let Σa, and Σb, are two infinite series such that 0 Sa, sb, thes a) ifa, converges then Σb, converges.. if diverges thea Σa, diverges. e) if Σb, converges then Σa, converges. d) if Σa, converges then Σb, diverges. (Ft) by a field and f(x) be irreducible polynomial in F(x) then

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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- Let Σa, and Σb, are two infinite series such that 05a, bn, thes a) ifa, converges then Σb, converges. if diverges thea Σa, diverges. e) if Σb, converges then Σa, converges. d) if Σa, converges then Σb, diverges. Let (F,,.) be a field and f(x) be irreducible polynomial in F(x) then a) F(x)<f(x)> is a field. b) the principal ideal <f(x)> is the maximal ideal and need not to be a prime ideal. c) the principal ideal <f(x)> is a prime ideal and need not to be maximal ideal. d) F(x)/<f(x)> is an integral domain but not a field.
Transcribed Image Text:- Let Σa, and Σb, are two infinite series such that 05a, bn, thes a) ifa, converges then Σb, converges. if diverges thea Σa, diverges. e) if Σb, converges then Σa, converges. d) if Σa, converges then Σb, diverges. Let (F,,.) be a field and f(x) be irreducible polynomial in F(x) then a) F(x)<f(x)> is a field. b) the principal ideal <f(x)> is the maximal ideal and need not to be a prime ideal. c) the principal ideal <f(x)> is a prime ideal and need not to be maximal ideal. d) F(x)/<f(x)> is an integral domain but not a field.
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