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S3-MATHS-2029
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Soit la série qui converge sur son disque de convergence et considérons sa somme
Alors :
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❌
✅
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Quel est son rayon de convergence ?
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Appelons sa fonction somme. Pour tout , on a :
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Soit la série entière .
Son rayon de convergence vaut :
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Parmi ces séries, lesquelles sont des séries entières ?
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Soit une suite réelle.
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❌
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La série
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❌
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Soient et deux suites réelles quelconques. Alors :
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Soit . Alors la série converge si et seulement si :
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