Assignment #9 - Due 3.5.12

# Assignment #9 - Due 3.5.12 - In addition graph your results...

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MAT 345 – Assignment #9 Due 3/5/12 Please write up your solutions on a separate sheet of paper. 1. Consider the sequence n s n n ) 1 ( - = which converges to 0. a. If 10 1 = ε , find a value of N that satisfies the definition of convergence. In addition, graph your results. b. If 100 1 = , find a value of N that satisfies the definition of convergence. In addition, graph your results. c. If 1000 1 = , find a value of N that satisfies the definition of convergence.
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Unformatted text preview: In addition, graph your results. d. Exercise 1(a) on page 42 of the text. 2. Exercise 1(b) on page 42 of the text. 3. Prove that the sequence 3 8 1-= n s n converges to 0. 4. Prove that the sequence 3 2 3 + = n s n converges to 0. 5. Exercise 1(c) on page 42 of the text. 6. Exercise 2(c) on page 42 of the text. Hint : n n n n n n n n 1 ) 5 7 ( 1 ) 3 4 ( lim 5 7 3 4 lim-+ =-+ ∞ → ∞ →...
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