Physics · Real Analysis
Examine the convergence of the series Σn=0∞ sin(nx)(n+1)(n+2).
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The series of functions is uniformly convergent on (-∞, ∞)✓
- 2The series of functions is not uniformly convergent on (-∞, -a) ∪ (a, ∞) for some a > 0
- 3The series of functions is convergent for x ∈ {mπ : m ∈ ℤ} and divergent elsewhere
- 4The series of functions is convergent on (-∞, ∞) but not uniformly convergent anywhere
Correct answer
The series of functions is uniformly convergent on (-∞, ∞)
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