+oo (-1)"2n+1 2n +1 ITEMS: Consider tan for all r € [-1, 1]. n=0 2.x 1. By differentiating tan (r*), find a power series representation of f(r) = that is valid for all %3D rE(-1,1). (-1)"+1 2. Use the result in item 1 to find the exact value of 16" n=0 3. Approximate ( tan) using a 4th degree Maclaurin polynomial. Hint: Using the power series representation for tanr given above, write a tan-r as a power series.

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