Real analysis 1st sem(principles of mathematical analysis)
14 videos • 64 views • by msc mathematics
1
every infinite subset of a cntbl set is countable |no uncountable set can be subset of countable set
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2
set of all integers are countable
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3
Let Ex be set of real numbers y such that (0 less tahn y less than x) then ∩Ex is empty
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4
set of all n tuples are countable
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5
union of countable sets are countable
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6
set of all rational numbers are countable
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7
real analysis, 1st sem msc maths,module 1 revision,part 1
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8
real analysis, 1st sem msc maths,module 1 revision part 2
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9
real analysis, 1st sem msc maths,module 1 revision,part 3
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10
real analysis last part
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11
prove that a finite point set has no limit points
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12
if X is a metric space and E⊂X, then prove that E=E closure if and only if E is closed
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13
discuss the continuity/discontinuity behaviour of the function f defined by f(x)={1 (x∈Q)& 0 (x∈Q')}
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14
let f & g are defined on [a, b] & are diffrntble at a point x ∈ [a, b].then PT f+g is diffrtble at x
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