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11.9 Function Representation as Power Series Question #1 (Easy)

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11.9 Infinite Sequences & Series Function Representation as Power Series Question #1 (Easy): Representing Function Into Power Series Strategy To convert the function into a power series, first think of geometric series whose sum iswhere a is the constant first term and r the ratio. Since a can be taken to outside the summation, ultimately then, the goal is to put into . Then given that geometric series converges for | , find the value for x which in turn causes the “geometric series ratio” to be less than . Sample Quest
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