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Gods Gift To Calculators: The Taylor Series

Part one of term paper
It is incredible how far calculators have come since my parents were in college, which was when the square root key came out. Calculators since then have evolved into machines that can take natural logarithms, sines, cosines, arcsines, and so on. The funny thing is that calculators have not gotten any "smarter" since then. In fact, calcul ...

Part two of term paper
... functions,such as those given above, with polynomials. These polynomials, called Taylor Polynomials, are easy for a calculator manipulate because the calculator uses only the four basic arithmetic operators. So how do mathematicians take a function and turn it into a polynomial function? Lets find out. First, lets assume that we have a function in the form y= f(x) that looks like the graph below. We'll start out trying to approximate function values near x=0. To do this we start out us ...

Word count: 545 | Approximate pages: 2

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