Recent content by Bruce3

  1. B

    Newton's method of estimation - using derivatives

    Homework Statement Newton devised the following method for approximating a real root of the equation f(x) = 0. i.e. a real number for which f(r) = 0. We begin by guessing an approximation, say x1, to the real root r. (i) Find the equation of the line tangent to the graph of y = f(x) at the...
  2. B

    Proving Euler's Formula using infinite series.

    Homework Statement I need to show that both sin(x) and cos(x) are absolutely convergent. Here's my work so far, Theorem: ℯix = cos(x) + i*sin(x) (1) Proof: This...
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