ANALYSIS: Continuity question

  • #1

Homework Statement



True or false? If f and g are continuous at 0 and f(1/(2n+7))=g(1/(7-2n)) for all positive integers n, then f(0)=g(0).

Homework Equations



lim x->0 f(x)=f(0)
lim x->0 g(x)=g(0)

The Attempt at a Solution



NO CLUE. My intuition says false.
 

Answers and Replies

  • #2
tiny-tim
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hi mathmajor2013! :smile:

hint: forget lim x->0 …

what is lim n->0 ? :wink:
 
  • #3
HallsofIvy
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I'm wondering if tiny-tim didn't mean "[itex]n\to \infty[/itex]"?
 
  • #4
tiny-tim
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oops! :rolleyes:
 

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