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Using binomial theorem, indicate which ...

Using binomial theorem, indicate which number is larger `(1. 1)^(10000)`or 1000.

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The correct Answer is:
N/a
`(1.1)^(10000)=(1+0.1)^(10000)`
`=^(10000)C_(0)+^(10000)C_(1).(0.1)`
`+^(10000)C_(2).(0.1)^(2)+.....`
`=1+1000+^(10000)C_(2).(0.01)+.....`
`=1001+" remaining terms "`
`gt 1000`
`" Therefore " (1.1)^(10000) gt 1000`
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Binomial Theorem: Lecture 1