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  1. V

    Limit Proof with Rational Functions

    Homework Statement If r is a rational function, use Exercise 57 to show that ##\mathop {\lim }\limits_{x \to a} \space r(x) = r(a)## for every number a in the domain of r. Exercise 57 in this book is: if p is a polynomial, show that ##\mathop {\lim }\limits_{x \to a} \space p(x) = p(a)##...
  2. V

    Oscillating spring derivation

    Homework Statement This was a highly simplistic lab we did, and that I have been taking further for my personal enjoyment (I always enjoy deriving things). The lab was if you have a spring hanging from a hook with a spring constant k, place an object of mass m on the spring so it just...