Recent content by wjamesbonner

  1. W

    Analysis: Potentially flawed proof in book describing roots of multiplicity m

    Thanks for the response, it is a very clear proof via Taylor's theorem. I am still wondering though if it is possible to prove from the definition provided. The problem is that Taylor's theorem is introduced after this particular definition and theorem. I definitely appreciate the proof via...
  2. W

    Analysis: Potentially flawed proof in book describing roots of multiplicity m

    Thanks for the feedback, I changed the latex tags to use ## which seems to have produced the desired effect. I actually just finished looking through every analysis book in my schools science library (rudin, funke, hille, haeussler, etc...) over 30 books and not one of them had this particular...
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    Analysis: Potentially flawed proof in book describing roots of multiplicity m

    Homework Statement In the book "Friendly introduction to analysis, 2nd Ed." by kosmala there is a definition of the root of a function and subsequent theorem and proof. Either the proof is not directly addressing certain important properties, or is flawed. The definition and theorem are as...