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4. (a) Show that if Tha(x) is the nth degree Taylor polynomial of f centered at a, then Tha(x) is the (n - 1)st Taylor

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4. (a) Show that if Tha(x) is the nth degree Taylor polynomial of f centered at a, then Tha(x) is the (n - 1)st Taylor polynomial of f'. (b) Find the nth Taylor polynomial for - around x = 0 (c) Use part (b) to approximate In(1 + x) as a polynomial. Use this to prove In 2 ~ 1 - NIK +

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