1322Assign1SolutionS14 - MAT1322-3X Solution to Assignment...

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MAT1322-3XSolution to Assignment 1Summer 2014Solution to Assignment 1MAT1322-3X, Summer 2014, Total = 10 marks (Note that no all questions are marked)1.Use the definition of improper integrals to determine if each of the following improperintegral is convergent or divergent.If it is convergent, find its value.(a)(2 marks)2111dxx-+;(b)(not marked)2lndxxx11lim2 lim12 3==+=1;2(b)lnln1/21/2ln22ln 2=→∞→∞→∞
12.Use the comparison test to determine if each of the following improper integral is convergentor divergent.(a)(2 marks)52411xdxxx+;(b)(2 marks)52401xdxxx+;(c)(not marked)2/21

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Term
Winter
Professor
N/A
Tags
Improper Integrals, Integrals, dx, Riemann integral, Henstock Kurzweil integral, Cauchy principal value

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