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| Williams, G. | 1 |
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Direct linkKlippert, J.; Williams, G. – International Journal of Mathematical Education in Science and Technology, 2002
It is well known that the uniform limit of a sequence of continuous real-valued functions defined on an interval I is itself continuous. However, if the convergence is pointwise, the limit function need not be continuous (take f[subscript n](x) = x[superscript n] on [0, 1], for example). Boas has shown that the pointwise limit function of a…
Descriptors: Intervals, Mathematics, Evaluation Methods, Mathematical Logic
