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Mathematics 14 Online
OpenStudy (anonymous):

Anyone want to help me with a limit question?

OpenStudy (anonymous):

just reply any i will put the question up

zepdrix (zepdrix):

Throw it up yo! c:

zepdrix (zepdrix):

Bring it teddy! whatchu got? c:

OpenStudy (anonymous):

2 secs haha

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

just need the last part but you need to know everything.

zepdrix (zepdrix):

Induction? D: ughhhh

OpenStudy (anonymous):

you dont need the induction i dont think... i think its just asking Deduce that x_n --> 0 as n -->infinity from\[x_{n+1}\le \frac{ 1 }{ 2^{n}}x_{1}\]

OpenStudy (anonymous):

or from \[x_{n+1}\le \frac{1}{2^{n}}x_{1}\]

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