lecture_16 (dragged) 2 - 4 MA 36600 LECTURE NOTES: MONDAY,...

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Unformatted text preview: 4 MA 36600 LECTURE NOTES: MONDAY, FEBRUARY 23 Recall that we have the Taylor Series expansions cos x = 1 − sin x 12 14 x+ x + ··· 2 24 1 15 = x − x3 + x + ··· 6 120 In particular, we find the identity This is known as Euler’s Formula. = = eit = cos t + i sin t. ∞ ￿ (−1)k k=0 ∞ ￿ k=0 (2k )! x2k (−1)k x2k+1 (2k + 1)! ...
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue University-West Lafayette.

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