January 9th, 2014, 09:58 AM  #1 
Member Joined: Jan 2013 Posts: 96 Thanks: 0  Function
Is there any function with the property that with such that ?

January 11th, 2014, 08:13 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Function
Perhaps with the sequence attached being ?

January 11th, 2014, 10:26 AM  #3 
Member Joined: Jan 2013 Posts: 96 Thanks: 0  Re: Function
Well, in your example there is a sequence (x_n) with such that just for x=0 (not for all )!

January 11th, 2014, 11:03 AM  #4 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Function
I see, I may have overlooked that condition. Nice question, by the way.

January 17th, 2015, 12:24 AM  #5 
Newbie Joined: Jan 2015 From: fsd Posts: 1 Thanks: 0 
I solved it! I forgot about .


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