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Which number is larger (1.01)^1000000 or 10,000 ?

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Which number is larger (1.01)1000000 or 10,000 ?

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Best answer

By Binomial Theorem 

(1.01)1000000 = (1 + 0.01)1000000 

= 1 + 1000000C1 (0.01) + other positive terms 

= 1 + 1000000 × 0.01 + other positive terms 

= 1 + 10000 + other positive terms, 

Hence (1.01)1000000 > 10,000

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