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Unformatted text preview: etc. 1 6) lim t →∞xe3 x / 3e3 x / 9  t = 1 / 9 Using ”lim” correctly and the IBP work were worth about 34 points each. 7a) (Advertised) See lecture notes or page 698. 7b) (Advertised) See lecture notes or page 686. 7c) See lecture notes. 8a) This was done in class and labelled ”the trick”. Do IBP twice to get: Answer = e x sin xe x cos xAnswer. Then solve for Answer. 8b) See Ex.6 on page 499. 9) FTTFT TFTFT Bonus) Split the fractions up so that every numerator is 1 and regroup them into geoseries: [1 / 2 + 1 / 4 + 1 / 8 + . . . ] + [1 / 4 + 1 / 8 + 1 / 16 + . . . ] + [1 / 8 + 1 / 16 + . . . ] + . . . = 1 + 1 / 2 + 1 / 4 + 1 / 8 + . . . = 2 2...
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 Summer '08
 Storfer
 Calculus, Fraction, Mathematics in medieval Islam

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