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Unformatted text preview: ? Prove your answer. (c) If you estimate the inﬁnite sum by adding together only the ﬁrst 6 terms , how good is the esti-mation? (You don’t need to calculate this approximating sum.) 5. (8) Apply the Ratio Test to determine if ∞ X n =1 n ! 2 n converges or diverges. 6. (8) Use either the Root Test or the Ratio Test to determine those values of x which make the following converge: ∞ X n =1 nx n . 7. (8 each) Determine the convergence of each. Use any method you want, but show your work . (a) ∞ X n =2 ln n n 3 (b) ∞ X n =1 n 2 3 n 2 + n (c) ∞ X n =2 1 n ln n (d) ∞ X n =2 1 n √ n 2-1...
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This note was uploaded on 01/24/2011 for the course MATH 21 taught by Professor Mathdep during the Winter '98 term at Missouri S&T.
- Winter '98