cover_sheet-1

cover_sheet-1 - Formula sheet for Exam 3 • I will not...

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Unformatted text preview: Formula sheet for Exam 3 • I will not explain these formulas or how to use use them. • It is your job to know what the symbols in each formula mean • It is your job to know how, when, and why to apply any given formula. N ar n = a − ar N +1 1−r ar n = a 1−r n=0 ∞ n=0 ρ = lim n→∞ an+1 an ρ = lim |an |1/n n→∞ (n) an = f (c ) n! 1 = 1 + x + x2 + x3 + · · · 1−x 1 1 ex = 1 + x + x2 + x3 + · · · 2! 3! 13 15 1 sin x = x − x + x − x7 + · · · 3! 5! 7! 1 12 14 cos x = 1 − x + x − x6 + · · · 2! 4! 6! m3 m2 m x +··· x+ x+ (1 + x)m = 1 + 3 2 1 ...
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