Convergent| Divergent| Oscillatory Sequence|Examples|result #realanalysis#csirnet#jam #gate#divita24

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convergent sequence
divergent sequence
oscillatory sequence
(with examples and results)

topic cover in lecture 23
limit of the sequence
every bounded sequence has at least one limit point.

topic cover in lecture 22
Monotonic Sequence
Subsequence
Complementary subsequence

topic cover in 21 lecture

sequence in real no.
range set
bounded sequence

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perfect set
Dense set
Compact set
Practice que.

topic cover in 19 lecture
important results on point set topology
which includes result on open set, closed set, interior point etc.

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open set
closed set

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isolated point
interior point

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derived set

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limit point

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adherent point

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Archimedean property
neighbourhood

topic cover in lecture 12

bounded set
supremum of a set
infimum of a set

topic cover in lecture 11

cantor set

topic cover in lecture 10

practice que with tricks

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results on countable and uncountable sets

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countable set and its result

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arithmetic of transfinite no

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similar set
transfinite no
que. based on necessary condition of onto and 1-1

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counting of function

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composition of mapping
inverse function

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difference of set
symmetric set
function
equality of function
type of function
one-one/ many one
onto/into
identity function
bijective function

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Cartesian product of a set
union of a set
intersection of a set
disjoint set

topic cover in lect. 1
set
equality of set
subset
cardinality
power set

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