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Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSBinomial Theorem2 Marks
Question
Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.
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Answer

(1.1)10000 = (1 + 0.1)10000.
= 1 + 10000C1(0.1) + 10000C2(0.1)2 + 10000C3(0.1)3 + ....
= 1 + 10000 (0.1) + other positive numbers
= 1 + 1000 + other positive numbers
Which is greater than 1000.
Thus (1.1)10000 > 1000

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