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)nnnxn∞=−+∑2. (20 pts) Recall the binomial series is defined as 230))(2))12!3!pnnppppxxpxxxn∞=⎛⎞−−−+==++++⎜⎟⎝⎠∑"where pis any real number, positive or negative. Find the Maclaurin series for a function defined by the following integral: 20()1xdtfxt=−∫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.