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प्रश्न
Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.
उत्तर
By splitting 1.1 and then applying Binomial Theorem, the first few terms of (1.1)10000 can be obtained as
(1.1)10000 = (1 + 0.1)10000
= `1^10000 + 10000C_1 xx 1^9999 (0.1)^1`
= 1 + 10000 x (0.1) + …. = 1001 +…
It is clear that the number (1.1)10000 is greater than 1000.
Hence, (1.1)10000 > 1000
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