construct a sequence of continuous real-valued functions on [-1,1] converging pointwise to the zero function but with not equal 0.

- October 18th 2008, 02:27 PMszpengchaoconstruct a sequence of continuous functions satisfy these conditions
construct a sequence of continuous real-valued functions on [-1,1] converging pointwise to the zero function but with not equal 0.

- October 18th 2008, 02:58 PMPlato
Which of these two do you mean: ?

- October 18th 2008, 02:59 PMszpengchaofor all
for all n i think.

- October 18th 2008, 04:14 PMPlato
That is almost the trivial case.

- October 19th 2008, 03:46 AMszpengchaowhat about
what about the other case?

- October 19th 2008, 04:14 AMPlato
O.K. Here is a start.