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what is power series in mathematics. Example 1182 n 1 x n n is a power series. If is too large thenB B the series will diverge.
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A series representing a function of the form sz k 0bkz ak where a is the centre bk are the coefficients and bkz ak are the terms of the series. More specifically if the variable is x then all the terms of the series involve powers of x. In a geometric series every term has the same coefficient.
In a power series the coefficients may be different usually according to a rule thats specified in the sigma notation.
A series representing a function of the form sz k 0bkz ak where a is the centre bk are the coefficients and bkz ak are the terms of the series. The cn c n s are often called the coefficients of the series. In a power series the coefficients may be different usually according to a rule thats specified in the sigma notation. Browse other questions tagged calculus sequences-and-series analysis power-series taylor-expansion or ask your own question.
