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High School
By True IITJEE on Jan. 29, 2017 | Updated Jan. 3, 2018

JEE Advanced 2016 Paper 2 Mathematics Question 39

The value \(\displaystyle\sum_{k=1}^{13}\frac{1}{\text{sin}{\left(\frac{\pi}{4} + \frac{(k-1)\pi}{6}\right)}\text{sin}{\left(\frac{\pi}{4} + \frac{k\pi}{6}\right)}}\) is equal to
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Undergraduate
By Shiva Kintali on May 31, 2013 | Updated Dec. 6, 2017

Evaluate the following summation \(\sum_{i=1}^n {i^{-1/2}}\)
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  • asymptotic analysis
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