Aryabhata
Reputation
60,474
416/400 score
 Jul 4 answered Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$ Jul 4 answered Is my theorem correct? $f(x) \leq g(x)$ for $x\geq a$ iff $f'(x) \leq g'(x)$ for $x\geq a$ and $f(a)=g(a)$. Jul 3 answered $\cos x -1+\frac{x^2}{2!} \geq 0$ for every $x\in \mathbb{R}$ Jul 3 answered When does $(a,b) \to (2a, b-a)$ terminate? ($a \leq b$) Jun 26 answered How do I apply the $\pm4$ part of the equation $5F_n^2\pm~4=L_n^2$ without knowing $n$? Jun 26 answered Evaluating a sum with Mobius function Jun 26 answered Doubt on locus of a median point Jun 26 answered Inequality for harmonic means Jun 17 answered Proving that a sequence is monotone and bounded Dec 14 answered Find a number leaving a particular remainder with 3 different numbers Nov 29 answered Find $a_{n+1}=\frac{a_n^2+1}{2}$ in terms of $n$. Nov 29 answered Show that $n-kl$ is a perfect square Nov 29 answered Nspire CAS spitting out a wrong answer? Nov 29 answered What is the value of $a_{2009}$ Nov 29 answered Finding the radius of convergence of the given power series. Nov 29 answered How to show $(mn)!$ divides $(m!)^n$? Nov 29 answered Proof that the limit of a sequence is equal to the limit of its partial sums divided by n Nov 29 answered Number of solutions in a given interval Sep 14 answered how to prove $a^{p-1} + \frac{p-1}{2\cdot 1}a^{p-2} + \frac{(p-1)(p-2)}{3\cdot 2\cdot 1}a^{p-3} + … + a \in \mathbb{Z}$? Aug 7 answered Limit of certain recurrence relation