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# calcul - x d d dx 1 x 2 e d dx R x e y 2 dy Question 4...

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Question 1 Simplify the following sums: a. n k =1 n b. n k =1 k c. n k =1 (2 k - 1) d. n k =1 2 k e. k =0 ( 1 6 ) 2 k f. k =0 2 k k ! g. k =3 1 k ! h. k =9 1 k i. n k =1 1 k ( k +1) Question 2 Evaluate the following limits: a. lim n →∞ 3 n 2 +2 n +1 5 n 3 - 3 b. lim n →∞ (1 + 1 2 n ) n c. lim n →∞ (1 + 1 n ) n d. lim x →∞ e - x e. lim x 0 e x - e - x x f. lim x 0 ln(1+ x ) x Question 3 Evaluate the following derivatives: a. d dx (3 x 2 - 1) 9 b. d dx x ln( x ) c. d dx e - 2 ln(
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Unformatted text preview: x ) d. d dx 1 + x 2 e. d dx R x e y 2 dy Question 4 Evaluate the following integrals: a. R 10 1 ( x-5) 2 dx b. R 4 1 1 x dx c. R 3 2 ln( x ) dx d. R 2-1 e-| x | dx e. R xe-1 2 x 2 dx f. R 2 1 2 x +2 x 2 +2 x +3 dx g. R 3 xe-x dx 1...
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