- #1

chwala

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The theorem is pretty clear...out of curiosity i would like to ask...what if we took ##n-3## factors...then the theorem would not be true because we shall have;

##[n!=6⋅4⋅5⋅6 ... n]##

and

##[2^n = 8⋅2⋅2⋅2 ...2]##

What i am trying to ask is at what point do we determine the number of terms to consider? Is there a general rule when using Squeeze Theorem or is it a matter of one using common sense? Of course i can see that for ##n## values greater than or equal to ##4## the theorem would be sufficient.