Year 1 Analysis Flashcards
Statement, truth tables,
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distributive, de morgan
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def function
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field axioms
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field axoim results
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order axioms
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order results
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def supremum
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max s = sup sresult
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completeness axiom
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archimidean postulate
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triangle inequality
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binomial inequality
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convergence
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1/n
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simple convergence resaults
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L<M convergence proof
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uniqueness of limits proof
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convergent sequence is bounded proof
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algebra of limits
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mod convergence results
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def diverges
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monotone def
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monotone and bounded above converges proof
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root 2 show
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sandwich theorem
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bitten sandwich theorem
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1/an diverges proof
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lemma an+1/an
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Growth factor test
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subsequence def
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any subsequence converges
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Bolzano weirstrass proof
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def series
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if series converges proof
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AOL for series
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a series less than another
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two results non negative terms
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absolute convergence defq
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if absolute then normal
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rearrangement of series
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Comparison test
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A’alemberts ratio test
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Leibniz alternating series test
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