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What are the differences and similarities between power series and taylor series?
What are the differences and similarities between Power series and Taylor series
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Anonymous User
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the Taylor series of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point. a power series is an infinite series of the form Σ an(x-c)^n where an represents the coefficient of the nth term and c is a constant. Power series are useful in mathematical analysis, where they arise as Taylor series of infinitely differentiable functions.
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are they same?
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taylor series is special type of power series in which an is nth derivative of f(x) at pt c
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Anonymous User
understood