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How do you determine the sum of an innite geometric series? Discuss the process for determining convergence of a series. What is a Taylor series

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How do you determine the sum of an innite geometric series? Discuss the process for determining convergence of a series. What is a Taylor series and how does it differ from a Maclaurin series? Why are they useful in calculus? Discuss how you would approach approximating the integral of sinlle from D to 1. How accurate would an :1"'1 degree power series be when approximating the function sinlxz)

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