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  • Using Binomial Theorem, indicate which number is larger (1.1)^10000 or 1000.

Q10.    Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.

Answers (1)

AS we can write 1.1 as 1 + 0.1,

(1.1)^{10000}=(1+0.1)^{10000}

=^{10000}C_0+^{10000}C_1(1.1)+Other \:positive\:terms

=1+10000\times1.1+ \:Other\:positive\:term

>1000

Hence,

(1.1)^{10000}>1000

Posted by

neha

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