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B.Sc. Second Year, Paper – VI ( Real Analysis –I )

“ Gramin ACS College Vasantnagar, Kotgyal”

Dr. Parshuram R. Shnde

Department of Mathematics

Gramin ACS College Vasantnagar, Kotgyal.

Tq : Mukhed, Dist : Nanded (M.S.) INDIA

Unit – II : Real Sequences PPT Presented by……

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Unit – II : Real Sequences

Contents :

Sequence, Range set, Bounds of a sequence, Convergence of sequences, Some theorem, Limit point of a sequence, Existence of limit points, Convergent sequences, Cauchy's general principle of convergence, Cauchy's sequence, Algebra of sequences, Some important theorem, Monotonic sequences, Subsequences.

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Sequences :

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Bounds of a Sequences :

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Some Theorems :

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Limit points of a Sequence :

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Existence of limit point :

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Convergent Sequences :

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Cauchy’s general principal of convergence :

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Thank you…