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Unformatted text preview: a) 7 z 1 − 4 z 3 b) e 3 z 2 c) z cos( z 2 ) d) z cosh( z 2 ) 1 2 . 6. Find elementary expressions for the following power series a) ∞ ° n =1 z 3 n +1 b) ∞ ° n =1 n ( n − 1) z n c) ∞ ° n =1 z 2 n n ! 7. Let z = re iθ where 0 < r < 1. Show that a) ∞ ° n =1 r n cos( nθ ) = r cos( θ ) − r 2 1 − 2 r cos( θ ) + r 2 b) ∞ ° n =1 r n sin( nθ ) = r sin( θ ) 1 − 2 r cos( θ ) + r 2...
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 Fall '11
 Staff
 Math, Power Series, Taylor Series, Mathematical Series, Zn, series A

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