6) Given e>0 and fe (a) C(0,1) (b) C[-1,1] (e) a or b (d) C2m. There exist an algebraic polynomial P such that ||f – Pl| < e. d O O O

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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17
نقطتان )2(
6) Given e> 0 and fe
(a) C[0,1]
(b) C[-1,1]
(c) a or b
(d) C2n
There exist an algebraic polynomial P such that |If - P|| < E.
a
b
d
نقطتان )2(
7) The set A = {1, cos x, cos(2x), ., cos(nx), sinx, sin(2x),., sin (nx)}is
(a) Linearly independent
(b) Orthogonal
(c)
Basis
(d) No Answer.
a
b
d
Transcribed Image Text:docs.google.com/forms/d/e/1F O 17 نقطتان )2( 6) Given e> 0 and fe (a) C[0,1] (b) C[-1,1] (c) a or b (d) C2n There exist an algebraic polynomial P such that |If - P|| < E. a b d نقطتان )2( 7) The set A = {1, cos x, cos(2x), ., cos(nx), sinx, sin(2x),., sin (nx)}is (a) Linearly independent (b) Orthogonal (c) Basis (d) No Answer. a b d
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