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Grade 11Algebra

The positive integer just greater than (1+0.0001)^10000

Profile image of Aniket Mahale
9 Years agoGrade 11
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2 Answers

Profile image of Aditya
9 Years ago
Using binomial expansion and |x|
Profile image of  DR STRANGE
9 Years ago
It is well known that lim n—> inf (1 + 1/n)^n evaluates to e.
So if we put n = 10000
(1 + 1/10000)^10000
And by binomial theorem,
(1 + 1/10000)^10000 = 1 + 10000C1 1/1000 + … > 2
Hence the answer is 3
please approve if you are satisfied n correct me if I am wrong