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What is a power series for a function?

Key questions

  1. 1

    Can we write a function \(f(x)\) as a series of powers of \(x\)?

  2. 2

    What is the power series for \(e^x\) and for other familiar functions?

  3. 3

    How can we use power series to approximate values of expressions?

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Resource type Title
Investigation Designing a polynomial