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One more limit

  • Thread starter Math_Geek
  • Start date
23
0
1. Homework Statement
lim as x goes to 1 from the right of 2^1/x-1=inf


2. Homework Equations

solve using delta-epsilon

3. The Attempt at a Solution

i am not sure how to prove an infinite limit, I have a defn that states, If for epsilon>0 there exists an M>0 such that x>M implies |f(x)-L|< epsilon. My main problem is that I am not sure how to do it, and how to get the power of two out of the way
 

Answers and Replies

229
0
take the log
 
23
0
is the definition right?
 
229
0
did you mean lim x->1+ 2^(1/(1-x)) = 0?
 
Last edited:
23
0
no the problem says it goes to inf
 
229
0
no the problem says it goes to inf
Oh it's lim x->1+ 2^(1/(x-1)), which is inf yea


The correct definition is

lim x->a+ f(x) = inf if for all M > 0 there is a d > 0 s.t. 0 < |x-1| < d and x > 1 implies |f(x)| > M
 

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