Test 1-SP07 - Phys 208 Theoretical Physics Test 1 (Feb. 2,...

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Phys 208 – Theoretical Physics – Test 1 (Feb. 2, 2007) 1.(15 pts) Find the interval of convergence for the following power series. Be sure to check the endpoints of the interval. 1 (1 )( 1 ) nn n x n = −+ 2. (20 pts) Recall the binomial series is defined as 23 0 ) ) (2 ) ) 1 2! 3! pn n p pp p xx p x x x n = ⎛⎞ −− += = + + + + ⎜⎟ ⎝⎠ " where p is any real number, positive or negative. Find the Maclaurin series for a function defined by the following integral: 2 0 () 1 x dt fx t = a) Give the general series. b) What are the first three terms? 3. (10 pts) Evaluate the complex number,
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This note was uploaded on 01/08/2011 for the course PHYS 208 taught by Professor J.peat during the Spring '10 term at Missouri S&T.

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