For each n N let : [a,b] R where a,b R are such that a < b. Show that if F : [a,b] R is such that F as n in a pointwise fashion for each n N the function is monotonically increasing, then F is monotonically increasing.

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- Nov 15th 2009, 04:11 PMthaopandaMonotonically Increasing
For each n N let : [a,b] R where a,b R are such that a < b. Show that if F : [a,b] R is such that F as n in a pointwise fashion for each n N the function is monotonically increasing, then F is monotonically increasing.

- Nov 16th 2009, 08:05 AMFocus
Take x<y, you know that . What happens when you tend to the limit as n goes to infinity?