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Unformatted text preview: Center: ___________ Rewritten series: _______________ Expansion: ___________________ 7) Consider the power series 1 7 6 ) ( n n x x f . a) Find the center and radius of convergence (using the Ratio Test). Center: ____________ Radius: ___________ b) How would you find the interval of convergence? Describe the steps without actually finding the interval. 8) If f(x) = 2011 2 n n n x , find and dx x f ) ( . (Hint: Write in power series form first!) = ___________________ = ________________ 9) Rewrite x x f 3 2 ) ( as a power series centered at 11 by first converting into a geometric series. Then, find the radius of convergence. Show all work! Geometric series: ________________ Power series: __________________ Radius of convergence: _________...
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