MATH 1132Q Lecture Notes - Lecture 16: Radius
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MATH 1132Q Full Course Notes
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What numbers can we input into this series to have the result be a. Typically, the green box is replaced by a variable x and we create what is called a power series. A power series centered at a is a series with the form: Where x is a variable and the are constants that we refer to as the coefficients of the series. The are functions of n so for each value of n, they become a constant. We call them constants because they are constant with respect to the variable x. Today we will consider that have the form: A power series can be though of as a polynomial of infinite degree. Each different value of x yields a different series. For some values of x this series may converge and for others it may diverge that"s where we come in! Determine the values of x for which will converge.
