
02310876
j
1996a.00543
Cheung Pakhong
A classroom note on the convergence of Taylor series.
Math. Comput. Educ. 28, No. 2, 132135 (1994).
1994
MATYC Journal, Old Bethpage, NY
EN
I35
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.