The interval in which x (> 0) must lie so that the greatest term in the expansion of (1 + x)2n n has the greatest coefficient is
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answer is 2.
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Detailed Solution
The greatest coefficient in the expansion of (1+x)2n is 2nCn We are given 2nCnxn is the greatest term ∴ 2nCn−1xn−1<2nCnxn 2nCn+1xn+1<2nCnxn⇒ 2nCn−1 2nCn