MTH 240 Midterm: MTH240 Term Test 2 2012 Winter Solutions
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2: [8 marks] solve the initial-value problem : Y = y nx- y lnx, y(l) = 4. 3: [10 marks] determine whether the series 2:) -it- is absolutely convergent, conditionally convergent or divergent. State clearly the name of the tests used in your solution. ):;t- d(~j,~~ i~-1 bn " l ~v\"" . /- 4: [8 marks] determine if the series ~ 1n (n + 1) . 5: [8 marks] determine whether the series l n( n)" is convergent or divergent . 2 n=l 2n . tests used in your solution. j. \_ y\ ~") ,:: ~v\ ~ \ \!- 6: [8 marks] consider the convergent series l. Without using the exact value of the sum, how many terms of the se:ies do we need . to add_ in order to approximate the sum with an error that is smaller than oo ( -l)n-1 n=l n s\a. ~ )\ v;vc,
