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Change In Order of Integration , {{ ∫ ∫ sin(y^2) dy dx,X:0 to 1,Y:x to 1 }} #iitjam @ksbmaths7685

Weierstrass's Approximation Theorem |Bernstein Polynomial |{Definition 27.2 ,Theorem 27.4 And 27.5}

Weierstrass's Approximation Theorem |Bernastein Polynomial |{Lemma 27.1 And 27.2}

ABELS THEOREM ||PROOF||

1(xn/(1+xn) is non uniformly convergent on ,F is notcontinuous;Construct Fn ,discontinuous on[0, 1]

THEOREM 8.2.2 =INTERCHANGE OF LIMIT AND CONTINUITY

THEOREM 8.2.4INTERCHANGE OFLIMITANDINTEGRAL BSC Maths( H)

Cauchy Criterion for Uniform Convergence|| State and Proof||

Theorem 4.2.4 lim (f(x)+ g(x) ) =L+M ; lim(f(x) *g(x)) =LM ; lim(f(x)- g(x)) =L-M ; lim(bf(x)) =bL

Uniform Norm and Examing the uniform convergence for X^n for [0, 1] by uniform norm

How to solve system of linear equations@ksbmaths7685

Pointwise and uniform convergence ( Sequence and series of function) PART 1 ‎@ksbmaths7685 

Automorphism ( Group theory) @ksbmaths7685

Cosets and lagrange theorem ( Group theory)@ksbmaths7685

Isomorphism (Group theory) @ksbmaths7685

Maximum&Minimum+Upper&Lowerbound+Supremum&Infimum{Dm-lec-4(Part-2)}@ksbmaths7685

Dual OfOrder,DualityPrincipal, Maximal&Minimal[°DM,Lec-3]Defintion+Examples@ksbmaths7685

Covering Relation, Hasse Diagram and Chain | DM lec-2|Definition +examples@ksbmaths7685

Divergence Theorem(GeneralTermTest){IfAntendsto0thenSummationofAnDiverges} @ksbmaths7685

WHAT IS Partial Ordered and POSet | DM lecture-1|EXAMPLES ; DEFINITION @ksbmaths7685

what is Infinite Series| Convergent/limit ofSeries|What is geometric series@ksbmaths7685

To Prove: Every Monotonic Function on [a, b] is Integrable {Riemann integration }@ksbmaths7685

What is Subsequene of Sequence | To prove : If SEQUENCE converges, then every SUBSEQUENCE converges

Monotone Convergence /Divergence theorem [Part 2]