3.* Do the following series converge pointwise on the given domains? Do they converge uniformly? Justify your answers. (cos(nx))³ n2 + x2 (n² + x)²/3 3 (a) on R, (b) on (0, 0). n³ n=1 n=1

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Chapter2: Second-order Linear Odes
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DO BOTH SUBPARTS

3.* Do the following series converge pointwise on the given domains? Do they converge
uniformly? Justify your answers.
(cos(nz))3
(n² + x)²/3
(a)
on R,
(b)
on (0, 0).
n2 + x?
n3
n=1
n=1
Transcribed Image Text:3.* Do the following series converge pointwise on the given domains? Do they converge uniformly? Justify your answers. (cos(nz))3 (n² + x)²/3 (a) on R, (b) on (0, 0). n2 + x? n3 n=1 n=1
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