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Vijay posted an Question
October 22, 2021 • 18:25 pm 30 points
  • IIT JAM
  • Mathematics (MA)

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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    Navdeep goyal 1

    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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