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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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understood

• ##### Anonymous User

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.

are they same?

taylor series is special type of power series in which an is nth derivative of f(x) at pt c

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