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anonymous
 5 years ago
is the limit of a constant as x> infinity 0?
anonymous
 5 years ago
is the limit of a constant as x> infinity 0?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0$$(\forall \epsilon>0)(\exists \delta>0)\rightarrow \left f(x)  c \right<\epsilon$$

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0$$\left cc \right=0<\epsilon, 0<\delta<\epsilon$$

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well that proved it if you're going to zero, my bad

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you don't think so what? That proves it for any finite x. The infinite proof is slightly different

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0constant is constant always it will not change anymore regarding a change of anything change in climate doesnot change the position of a tree. it is constant. so limit of a constant is constant always not zero

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0noufal i don't think you understand deltaepsilon proofs, with the wording of your response. And the limit of a constant is zero if the constant is zero.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The limit of a constant as x approaches infinity is that constant. This can be shown using deltaepsilon.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which is what i proved above for finite x. The infinite proof is: \[(\forall \epsilon>0)(\exists N>0)(\forall x>N)(\left f(x)L \right<\epsilon)\] f(x) = C and L = C, so \[\left f(x)L \right=\left CC \right=0<\epsilon\] so any x>N may be chosen to satisfy the proof.
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