\input zb-basic
\input zb-matheduc
\iteman{ZMATH 1996a.00543}
\itemau{Cheung Pakhong}
\itemti{A classroom note on the convergence of Taylor series.}
\itemso{Math. Comput. Educ. 28, No. 2, 132-135 (1994).}
\itemab
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.
\itemrv{~}
\itemcc{I35}
\itemut{}
\itemli{}
\end