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Aditya Dev

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Studies Civil Engineering at Indian Institute of Technology, Bombay, India

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11 If $\lim_{n\to\infty}\frac{1^a+2^a+…+n^a}{(n+1)^{a-1}.((na+1)+(na+2)+…+(na+n))}=\frac{1}{60}$, Find the value of a Jul 22 '15
11 Probability that $2^a+3^b+5^c$ is divisible by 4 Jan 13 '16
11 Find $\sin\frac{\pi}{3}+\frac{1}{2}\sin\frac{2\pi}{3}+\frac{1}{3}\sin\frac{3\pi}{3}+\cdots$ May 2 '16
9 Find the remainder when ${{5^5}^5}^5$ is divided by $24$ Feb 1 '16
9 Number of ways of forming 4 letter words using the letters of the word RAMANA Dec 24 '15
9 Finding Maximum Area of a Rectangle in an Ellipse Mar 6 '16
8 If the $81$ digit number $111\cdots 1$ is divided by $729$, the remainder is? Jan 14 '16
8 Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f'(x)$ is continuous and $|f'(x)|\le|f(x)|$ for all $x\in\mathbb{R}$ Feb 8 '16
7 Proving that the roots of a complex equation lie within a circle Dec 26 '15
7 Find the sum of $-1^2-2^2+3^2+4^2-5^2-6^2+\cdots$ Apr 12 '16
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