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calculus

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write a power series for e to the 2x and find the interval of convergence

  • calculus - ,

    Since e^x = 1 + x + x^2/2! + x^3/3! + ...

    e^2x = 1 + 2x + 4x^2/2! + 8x^3/3! + ...

    It converges for all x.

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