Statement: Let (an) be a sequence of positive terms lim n->infinity a power 1/n = lim n->infinity an+1/an. Provided the limit on t...
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Showing posts with label Maths CL. Show all posts
Showing posts with label Maths CL. Show all posts
Important Basic Theorem
Statement: Let (an) be any sequence. And lim n -> infinity (an/an+1) = l if l > 1 then, (an) -> 0. Proof: Let, k be any re...
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Application Of Mathematics
Just you are see in Mathematics in our Natural Life, I will explain in Natural and Daily Life use in Mathematics, Just see the PDF File...
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SEQUENCE - CESARO'S THEOREM
Statement: Cesaro's theorem if (an) ->a, and (bn) ->b then (a1bn+a2bn-2+anb1/n) ->ab. proof: Let, cn = a1bn+........
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WORLD BEST MATHEMATICIAN TERENCE TAO IN AUSTRALIA
Tao at March 2006 Erdos Memorial Conference in Memphis, Tennessee. Born 17 July 1975 (age 41) Adelaide, South Austra...
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Sum Theorem's on Limits - Cauchy's First Limit Theorem
Statement: If (an) -> l, then (a1+a2+....+an/n) -> l. Proof: Case(i): Let l = 0. Let, bn = a1+a2+......+an/n. Let excellon...
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Virat Indian Test Team Revenge in Aus Exculsive Remix
BY DETICATED IN INDIAN FANS & PEOPLES
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Show that if (an) ->0 and (bn) is bounded, then (anbn) ->0
Since (bn) is bounded, there exist k >0 such that mod bn <=k for all n. Therefore, mod anbn <= k mod an Now, let excellon >0...
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Discuss the Behaviour of the Geometric Sequence (r power n)
Proof: Case (i): Let, r =0. Then, (r power n) Reduces to the constant sequence. 0,0,0,.... and hence convergences to 0. Case (ii...
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