*It is shown that Euler-Cauchy equations with certain types of nonhomogeneous terms can be solved by the method of undetermined coefficients.*

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*The authors provide a geometric proof for the limit *, \(\frac{\sin t}{t}\), *simpler than the geometric proof found in most calculus textbooks.*

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*A new technique is described for providing a geometric interpretation of a function of a complex variable.*

*Two proofs, one from calculus I, one from calculus II, that 1 - x^r < r*(1 - x). *