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Find a power series representation for the function. (Center your power series representation at x = 0.)f(x) = 19 + x

Question

Find a power series representation for the function.

(Center your power series representation at x = 0.)
f(x) = 19 + x

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Solution

The power series representation of a function is a sum of terms that involve powers of the variable. In this case, the function f(x) = 19 + x is already a polynomial, so its power series representation centered at x = 0 is simply itself, f(x) = 19 + x.

This is because a power series representation is a way of expressing a function as an infinite sum of terms that are powers of the variable. But if the function is already a polynomial, then it's already in that form, and no further work is needed.

So, the power series representation of f(x) = 19 + x, centered at x = 0, is just 19 + x.

This problem has been solved

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