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50:55 Lecture 23, Section 11.6 -- 3/15/2021 Lecture 23, Section 11.6 -- 3/15/2021	Lecture 23, Section 11.6 -- 3/15/2021 series ratio limit sum test times infinity thing minus epsilon convergent n. factors comparison convergence factorial term bit x. function From Luis Nerio Scoccola 73 plays 0
08:16 Proofs of Algorithm Correctness Proofs of Algorithm Correctness	Proofs of Algorithm Correctness loop algorithm problem contradiction proof step induction correctness loops factorial times base things languages practice iteration invariant n. answer recursion From Emily Dolson 442 plays 0