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 Apr1 comment Spivak - Chapter 7 Question 5 - Could f(x) be a function other than a constant function? intuitively it can be only constant because the set of rationals is countable Apr1 answered Finding the limit of $\sqrt[n]{{kn \choose n}}$ Mar31 comment Continuous function proof by definition Shouldn't it be $\delta = \varepsilon \sqrt{c}$ to get $|\sqrt{x}-\sqrt{a}|<\varepsilon$? Mar25 comment Simple Explanation of Geometric distribution? check the definition of Geometric rv: 'number of failures before the first success' Mar25 answered Simple Explanation of Geometric distribution? Mar24 revised Recursive Relations edited tags Mar24 comment Under what condition(s) we can use the following relation: $\frac{df(x)}{du}=\frac{df(x)}{dx}\frac{dx}{du}$ both $x(u)$ and $f(x)$ must be differentiable functions Mar23 revised Solving $(f(x))^2 = f(\sqrt{2}x)$ edited tags Mar23 comment Showing that $1 - (1 - b_n)^{a_n} \sim a_n b_n$ as $n \to \infty$. would the downvoter care to comment? Mar23 answered Showing that $1 - (1 - b_n)^{a_n} \sim a_n b_n$ as $n \to \infty$. Mar23 revised $f(x) = (\cos x - \sin x) (17 \cos x -7 \sin x)$ added 4 characters in body; edited title Mar22 comment Determining convergence of $\sum_{n=1}^{+\infty}(e^{\frac{1}{n}}-(1+\frac{1}{n}+\frac{1}{2n^2}))^{\frac{1}{2}}$ Since $e^{\frac{1}{n}} = 1 +\frac{1}{n} + \frac{1}{2 n^2} + O(\frac{1}{n^3})$, the first three terms cancel out and the remainder can be compared to $\frac{1}{\sqrt{n^3}}$ which converges. Mar21 answered Determining convergence of $\sum_{n=1}^{+\infty}(e^{\frac{1}{n}}-(1+\frac{1}{n}+\frac{1}{2n^2}))^{\frac{1}{2}}$ Mar21 answered How can I express the ration of double factorials $\frac{(2n+1)!!}{(2n)!!}$ as a single factorial? Mar20 revised one recurrence relation with generating function added 363 characters in body Mar20 comment one recurrence relation with generating function Just imitate this proof: en.wikipedia.org/wiki/… Mar20 revised one recurrence relation with generating function added 122 characters in body Mar20 answered one recurrence relation with generating function Mar20 revised generating function and one recurrence sequence? edited body Mar20 comment explaining $|a+b|≤|a|+|b|$ in simple terms If you plug in -2 and 5 instead, you'll see it immediately