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Anyone want to help me with a limit question?
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just reply any i will put the question up
Throw it up yo! c:
Bring it teddy! whatchu got? c:
2 secs haha
Suppose that (x_n) is a sequence of positive terms which satisfies x_(n+1) <= (1/2)x_n (*) for all n >= 1. Use induction to prove that x_(n+1) <=(1/2^(n-1))x_1 for all n>=1. Deduce that x_n --> 0 as n -->infinity.
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just need the last part but you need to know everything.
Induction? D: ughhhh
you dont need the induction i dont think... i think its just asking Deduce that x_n --> 0 as n -->infinity from\[x_{n+1}\le \frac{ 1 }{ 2^{n}}x_{1}\]
or from \[x_{n+1}\le \frac{1}{2^{n}}x_{1}\]
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