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A classroom note on the convergence of Taylor series. (English)
Math. Comput. Educ. 28, No. 2, 132-135 (1994).
Many students have the misconception that if the Taylor series of a function f(x), about an arbitrary value a of x, converges, then the limit of the series is f(x). The author discusses Cauchy’s counterexample of a function where the Taylor series converges for any real value of x but not to f(x) except for the angle value x = a.
Classification: I35
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