limit question
I have a question:
what is lim (n>infinity)= 1/(3+(1)^n))? My opinion that this limit does not exist. 
"Do not opine, PROVE!"
Apocryphal quote from Euclid. :smile: 
Are you asking about
[tex]\lim_{n\rightarrow\infty}\frac{1}{3+(1)^n}[/tex] perhaps? The equals sign in your post is confusing me. If so, are you familiar with the lim sup and lim inf? That would give you an easy direct proof: if lim sup = lim inf, that's the limit; otherwise, the limit does not exist. 
i have dealt with sup but not with inf but i will look them up. Thx anyway.

manooch
Quote:
if n∈Z (Z=Integer) then we have two answer for equation 1) if n=Even then answer=1/4 2) if n=Odd then answer=1/2 if n∈R (R=Real) then equation is undefined for example: (1)^1/2 does not exist.:smile: 
Quote:

I think you could use:
Proposition 4 Every subsequence of a convergent sequence converges to the same limit. from: http://www.iwu.edu/~lstout/sequences/node3.html 
thank you for help me

thank you for conduce:tongue:
Accordingly this sequence isn't convergent:smile: 
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