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Apr
1
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
Apr
1
answered Finding the limit of $\sqrt[n]{{kn \choose n}}$
Mar
31
comment Continuous function proof by definition
Shouldn't it be $\delta = \varepsilon \sqrt{c}$ to get $|\sqrt{x}-\sqrt{a}|<\varepsilon$?
Mar
25
comment Simple Explanation of Geometric distribution?
check the definition of Geometric rv: 'number of failures before the first success'
Mar
25
answered Simple Explanation of Geometric distribution?
Mar
24
revised Recursive Relations
edited tags
Mar
24
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
Mar
23
revised Solving $(f(x))^2 = f(\sqrt{2}x)$
edited tags
Mar
23
comment Showing that $1 - (1 - b_n)^{a_n} \sim a_n b_n$ as $n \to \infty$.
would the downvoter care to comment?
Mar
23
answered Showing that $1 - (1 - b_n)^{a_n} \sim a_n b_n$ as $n \to \infty$.
Mar
23
revised $f(x) = (\cos x - \sin x) (17 \cos x -7 \sin x) $
added 4 characters in body; edited title
Mar
22
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.
Mar
21
answered Determining convergence of $\sum_{n=1}^{+\infty}(e^{\frac{1}{n}}-(1+\frac{1}{n}+\frac{1}{2n^2}))^{\frac{1}{2}}$
Mar
21
answered How can I express the ration of double factorials $\frac{(2n+1)!!}{(2n)!!}$ as a single factorial?
Mar
20
revised one recurrence relation with generating function
added 363 characters in body
Mar
20
comment one recurrence relation with generating function
Just imitate this proof: en.wikipedia.org/wiki/…
Mar
20
revised one recurrence relation with generating function
added 122 characters in body
Mar
20
answered one recurrence relation with generating function
Mar
20
revised generating function and one recurrence sequence?
edited body
Mar
20
comment explaining $|a+b|≤|a|+|b|$ in simple terms
If you plug in -2 and 5 instead, you'll see it immediately