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limit points open interval closed and compact sets real analysis Gate IIT Jam 2012 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.
tag 29062021
Limit Points Open Interval closed and compact sets real analysis Gate IIT Jam 2012 mathematics
The set Y =(-1,1) therefore the derived set is [-1,1].
Option (d).
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.
tag 29062021
Limit Points Open Interval closed and compact sets real analysis Gate IIT Jam 2012 mathematics
The set Y =(-1,1) therefore the derived set is [-1,1].
Option (d).
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limit points open interval closed and compact sets real analysis Gate IIT Jam 2012 mathematics
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