Continue reading Prove that $$\sqrt {n + 1} – \sqrt n < {1 \over {2N}}{\rm{ }}…….$$
Category Archives: Mathematics
CBSE 2012 Vector Problem & Solution
Prove that for every positive integer n ……
Find a function \(g:R \to R\) ……
Let \(\alpha (a)\) and \(\beta (a)\) be the roots ………
Let 
![\left( {\sqrt[3]{{1 + a}} - 1} \right){x^2} + \left( {\sqrt {1 + a} - 1} \right)x + \left( {\sqrt[6]{{1 + a}} - 1} \right) = 0](https://s0.wp.com/latex.php?latex=%5Cleft%28+%7B%5Csqrt%5B3%5D%7B%7B1+%2B+a%7D%7D+-+1%7D+%5Cright%29%7Bx%5E2%7D+%2B+%5Cleft%28+%7B%5Csqrt+%7B1+%2B+a%7D+-+1%7D+%5Cright%29x+%2B+%5Cleft%28+%7B%5Csqrt%5B6%5D%7B%7B1+%2B+a%7D%7D+-+1%7D+%5Cright%29+%3D+0&bg=ffffff&fg=000&s=0&c=20201002)
Then 
(A) 
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[JEE 2012]
Continue reading Let \(\alpha (a)\) and \(\beta (a)\) be the roots ………
