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Unformatted text preview: f , if you are careful to point out that the diﬀerence between g ( a + 2 π ) and g ( a ) is always the integral of f over that length, which is always 0. 5a) This is a geometric series which converges to 1 / (1-e x ) when e x < 1. So any negative x is alright. 5b) y ( x ) = 1 3 x 3-1 15 x 5 + ··· . 6) The functions are any multiples of sin( cx ) where c cos( c ) + 3 sin( c ) = 0, and λ = c 2 . So you need c =-3 tan( c ). A sketch of the graph of-3 tan( c ) as a function of c will show what is needed. 7...
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This note was uploaded on 01/21/2011 for the course MATH 2930 taught by Professor Terrell,r during the Spring '07 term at Cornell University (Engineering School).
- Spring '07