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  4. The positive integer just greater than (1 + 0.0001)10000 is .

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Q. The positive integer just greater than $(1 + 0.0001)^{10000}$ is ____.

Binomial Theorem

Solution:

We know that
$2\le\left(1+\frac{1}{n}\right)^{n} <3\forall n\ge 1, n\in N$
$ \therefore 2< \left(1+\frac{1}{10000}\right)^{10000} < 3$