3. Let g (0,00)→ R and for every n ≥ 1, fn: (0, ∞o)→ R. For every 0 < t < T < ∞,assume that g € Roc[t, T] and for every n ≥ 1, fn € Rloc[t, T]. If for every n ≥ 1, |fn| ≤9,fnf uniformly on every compact subset of (0, ∞o) and g = R(0, ∞o), prove that[² = [°fn00limTL->00f.

Kindly refer to Step 2 for the solution.

Answered: 3. Let g (0, ∞) → R and for every n ≥…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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