# Calculus II Exam Practice Writing Homework Help Content Type

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COLLEGE OF ENGINEERING RETAKE EXAMINATION (ONLINE) Programme: BEng (NU)CIE, CHE, COE, ECE, EPE, MIE, POM Session: 2020 β 2021 Semester: Spring Level: 1 Duration: 3 hours Date: 24 August 2021 Max Marks: 100 Module Code: EMS00102 Module Title: Calculus II Candidates Should Attempt ALL the Questions Read the instructions and procedure for submission on blackboard carefully Write your Student Number, Program & Page number in all the pages of your answer script Formulae Sheet (Attached) Q1(i) The nth term of the sequence {ππ } is , π1 = β1 , π2 = 2 & ππ+2 = [5] ππ+1 ππ 2 Construct the sequence by writing the first five terms. Q1(ii) Find the sum of the infinite series, [5] β 10 β 3πβ2 β 10πβ2 π=2 Q2 Using the Ratio test, determine the convergence of the given [8] series: β β π=1 (π β 1)! π! (2π)! Q3 Find the Maclaurin Series expansion

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