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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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Using Binomial theorem, `(1.1)^10000 = (1+0.1)^100000`
` = 10000_(C_0)*1*(0.1)^0+10000_(C_1)*1*(0.1)^1+....` Here, we can see that first two terms are more than 1000. and rest are all positive values.
So, we can say that ,
`(1.1)^10000 > 1000`
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