Geometric Series Sequences and L Hopital s Rule from Old Exams - Mat104 Geometric Series Sequences and L'H^pital's Rule from Old Exams o(1 For which

Thomas' Calculus: Early Transcendentals

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Mat104 Geometric Series, Sequences and L’Hˆ opital’s Rule from Old Exams (1) For which values of x does n =0 e nx converge? What is the value when it converges? (2) Evaluate n =4 - 2 3 n . (3) Evaluate n =0 2 n + 3 n +1 + 4 n +2 5 n . (4) Find 2 + n =1 2 + ( - 3) n 5 n . (5) Evaluate n =0 2 + 2 n 4 n . (6) Find lim n →∞ ln( n 2 + n ) ln( n 2 - n ) or show that it does not exist. (7) Evaluate or show that lim n →∞ 3 n

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