Lecture 4 Notes

# X3 x5 what function has taylor series x 3 5 a cos

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Unformatted text preview: a2 + b2 ￿￿ b θ = arctan a a + bi = M (cos θ + i sin θ) is sometimes called the argument or phase of a + bi. θ Complex number review Complex number review • Toward Euler’s formula Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! x2 x4 + − ··· • What function has Taylor series 1 − 2! 4! (A) cos x (C) ex (B) sin x (D) ln x Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! x2 x4 + − ··· • What function has Taylor series 1 − 2! 4! (A) cos x (C) ex (B) sin x (D) ln x Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! x3 x5 + − ··· • What function has Taylor series x − 3! 5! (A) cos x (C) ex (B) sin x (D) ln x Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! x3 x5 + − ··· • What function has Taylor series x − 3! 5! (A) cos x (C) ex (B) sin x (D) ln x Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be represented as f ￿￿ (x0 ) ￿ 2 f (x) = f (x0 ) + f (x0 )(x − x0 ) + (x − x0 ) + · · · 2! x2 x3 + + ··· • What function has Taylor series 1 + x + 2! 3! (A) cos x (C) ex (B) sin x (D) ln x Complex number review • Toward Euler’s formula • Taylor series - recall that a function can be rep...
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## This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at The University of British Columbia.

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