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Would someone explain to me the difference between an exponential function and a geometric series?
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An exponential function associates to one variable the result of raising a constant to the exponent of another variable. For example, \(y=e^x\). A geometric series, on the other hand, is the sum of a sequence of numbers which have a common ratio. They are somewhat similar in that you could view the base of the exponential function as a common ratio, and the function as a sequence, but that is only partially accurate, since the function takes the whole real line as its domain whereas a sequence only takes the natural numbers as its domain.
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