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Feb
1
comment Properties of sup and lim inf.
@Vinith I think you should not accept such a quick answer. Unless, of course, you've already checked my tip step by step with pencil and paper. Dealing with 'sup' and 'inf' it is necessary familiarity and a good understanding the definition of supremum and the definition of infimum. This familiarity is achieved with practice various exercises.
Feb
1
revised Properties of sup and lim inf.
added 13 characters in body; edited title
Feb
1
revised Properties of sup and lim inf.
added 137 characters in body
Feb
1
answered Properties of sup and lim inf.
Feb
1
revised $ \sum_{n=1}^{\infty}a_{n} $ diverges but $ \sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}} $ sometimes converges and sometime diverges.
added 7 characters in body
Jan
31
reviewed Approve Compute the Frobenius norm
Jan
31
comment Proof by induction: $(1+x)^n > 1 + nx+nx^2$
@Mufasa Note that if we use approach Taylor (or binomial approximation by Newton) combined with the principle of mathematical induction we get demonstration in which the principle of mathematical induction is superfluous.
Jan
31
revised $ \sum_{n=1}^{\infty}a_{n} $ diverges but $ \sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}} $ sometimes converges and sometime diverges.
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Jan
31
revised $ \sum_{n=1}^{\infty}a_{n} $ diverges but $ \sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}} $ sometimes converges and sometime diverges.
added 67 characters in body
Jan
31
answered $ \sum_{n=1}^{\infty}a_{n} $ diverges but $ \sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}^{2}} $ sometimes converges and sometime diverges.
Jan
24
revised Help with integration of $\frac{f'(x)}{[f(x)]^n}$.
edited title
Jan
23
revised Find this limit: $ \lim_{n \to \infty}{(e^{\frac{1}{n}} - \frac{2}{n})^n}$
edited tags
Jan
23
awarded  Good Answer
Jan
22
revised convergence of $\prod_{n=1}^\infty (1-\frac{z}{n!})$
edited tags
Jan
18
awarded  Popular Question
Jan
17
reviewed Close Simplifying a hyperbolic trigonometric expression
Jan
17
reviewed Close let $x$ be in finite group $G$ and let order of $x$ is $p$. If $h^{-1}xh = x^{10}$ for a finite group show that $p=3$
Jan
15
comment convergence of $\prod_{n=1}^\infty (1-\frac{z}{n!})$
@corciacandy What do you mean by 'order'? If you are talking about convergence order towards the convergence of the product is uniform or punctually you can use the M test Weiersstrass to achieve uniform convergence.
Jan
13
revised convergence of $\prod_{n=1}^\infty (1-\frac{z}{n!})$
added 534 characters in body
Jan
13
answered convergence of $\prod_{n=1}^\infty (1-\frac{z}{n!})$