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bounded sequence may not be convergent Sequence and Series cucet 2017 mathematics
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Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor's series, radius and interval of convergence, term-wise differentiation and integration of power series.
Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms — comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
bounded sequence may not be convergent Sequence and Series cucet 2017 mathematics
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CUCET 2017, 31
Key (c)
Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor's series, radius and interval of convergence, term-wise differentiation and integration of power series.
Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms — comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
bounded sequence may not be convergent Sequence and Series cucet 2017 mathematics
#iitjam2009 #jammathematics #Jampreviousyearsolution #gp #definiteintegral #santoshi_family #mscentranceexamquestionpaper
CUCET 2017, 31
Key (c)
Monotonic Sequences and Bounded Sequences - Calculus 2
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bounded sequence may not be convergent Sequence and Series cucet 2017 mathematics
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