Homework 2 - HOMEWORK 2 (Math 200 A, B) 1. What is the...

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(Math 200 A, B) 1. What is the value of c if 2 2 ) 1 ( n n c ? (10 pts) 2. The Fibonacci Sequence is defined by the following equations: (30 pts) 2 1 2 1 , 1 , 1 n n n f f f f f , where 3 n . Show the following: (a) 1 1 1 1 1 1 1 n n n n n n f f f f f f (b) 1 1 2 1 1 n n n f f (c) 2 2 1 1 n n n n f f f 3. The power series for ) 1 ln( x is given by: (10 pts) . 1 1 , 4 3 2 ) 1 ln( 4 3 2 x x x x x x Use this to approximate 2 ln in two decimal places. ( Note : Just use the first four terms of the power series) 4. Term-by-term differentiation and integration: (20 pts) If 0 ) ( n n n x a x f , R x R , then: (i) ) ( x f is differentiable and 0 ) ( ) ( n n n x a dx d x f , R x R (ii) ) ( x f is integrable and 0 1 1 ) ( n n n n x a dx x f
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This note was uploaded on 04/18/2008 for the course MAT 200 taught by Professor Aristidou during the Fall '06 term at DigiPen Institute of Technology.

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Homework 2 - HOMEWORK 2 (Math 200 A, B) 1. What is the...

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