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Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then Sto f(t) dt = Σ%-0 (anx²+¹). in=0 Problem 11.2.5. Prove Corollary 11.2.4. Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then Sto f(t) dt = Σo (an1x²+¹). ▼ Hint. Remember that Σƒn(x) = = n=0 N lim Σƒn(x). N→∞ n=0 in-context

Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then Sto f(t) dt = Σ%-0 (anx²+¹). in=0 Problem 11.2.5. Prove Corollary 11.2.4. Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then Sto f(t) dt = Σo (an1x²+¹). ▼ Hint. Remember that Σƒn(x) = = n=0 N lim Σƒn(x). N→∞ n=0 in-context

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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Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then So f(t) dt = 0 (0+1 ²+¹). an in= Problem 11.2.5. Prove Corollary 11.2.4. Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then St²o f(t) dt = Σão (971x²+¹). an ▼ Hint. Remember that N Σfn(x) = lim Σ fn(x). N→∞ n=0 n=0 in-context
Transcribed Image Text:Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then So f(t) dt = 0 (0+1 ²+¹). an in= Problem 11.2.5. Prove Corollary 11.2.4. Corollary 11.2.4. If anxn converges uniformly to f on an interval containing 0 and x then St²o f(t) dt = Σão (971x²+¹). an ▼ Hint. Remember that N Σfn(x) = lim Σ fn(x). N→∞ n=0 n=0 in-context
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