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anonymous

  • 4 years ago

Can someone explain this question? Let b be a real number. Find the Taylor polynomials for g(x)=x^4+6b^2x^2+b^4 in powers of x + b. I don't understand what "in powers of x + b" means

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  1. anonymous
    • 4 years ago
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    expand around x = -b rather than simply taking the taylor polynomial at x = 0

  2. anonymous
    • 4 years ago
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    you'd like to understand the behavior of g(x) for values of x that are very close to x = -b by writing g(x) = A(x+b)^4 + B(x+b)^3 + C(x+b)^2 + D(x+b) + E; I suppose you could figure out ABCDE by hand but that's what formula for Taylor expansion is for...

  3. anonymous
    • 4 years ago
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  4. anonymous
    • 4 years ago
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    you can simplify the fractions

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