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   Author  Topic: question about sup and limit?  (Read 9927 times)
comehome1981
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question about sup and limit?  
« on: Feb 20th, 2009, 8:31am »
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Thanks for helping me solve the following question!!
 
We have  
      fn(x) -> f(x) pointwise
 
Can we conclude  
 
lim_n sup_{x} fn(x) = sup_{x} lim_n fn(x) = sup_{x} f(x)
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Eigenray
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Re: question about sup and limit?  
« Reply #1 on: Feb 20th, 2009, 9:58am »
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Try fn(x) = x/n.
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