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Unformatted text preview: Tuesday, April 21st . Ex 3. Find the matrix of a linear map that leaves stable the zaxis and xyplane, and has ~ 0 as its only ﬁxed point. Ex 4. Evaluate lim n →∞ 2 n + n 5 3 nn 2 . Ex 5. Study the convergence of the series ∞ X n =1 n nx n ! , when x ∈ R . 2 MATH 186 – WINTER 2009 HOMEWORK SET 10 Ex 6. Study the convergence of the series ∞ X n =1 (1) n √ n 1 + n 2 x 2 , when x ∈ R . Reduce, reuse, recycle!...
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 Winter '08
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