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Artyom0805 [142]
3 years ago
12

Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)

Mathematics
1 answer:
Maslowich3 years ago
5 0

Step-by-step explanation:

Use the Maclaurin expansion:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!

For example, for f(x) = eˣ:

f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!

f(x) = ∑ₙ₌₀°° xⁿ / n!

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Using it's concept, the domain of the function is given as follows:

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<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.

The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:

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More can be learned about the domain of a function at brainly.com/question/10891721

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Step-by-step explanation:

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