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2d
comment Two functions equal in some point
@5xum: the statement follows from Intermediate Value Theorem, right? But is the OP allowed to use it?
2d
answered Show convergence/divergence for $\sum_{n=1}^{\infty} \frac{{(\ln n)}^{2}}{{n}^{2}} $
Apr
22
comment Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$
@Ian: This is exactly what I was trying to do (my favorite approach if you look at my similar answers), but for sm reasong couldn't get my head around making it precise, so jumped to L'H
Apr
22
comment Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$
Thanks @BrianTung
Apr
22
revised Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$
added 3 characters in body
Apr
22
answered Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$
Apr
22
comment Radius of convergence of the power series
Someone with title 'Dr' should be surely capable of asking a question correctly
Apr
21
comment What is e^e^x? Also, what is log e^e^x to the base e, i.e, ln(e^e^x)?
'what is $e^{e^x}$?' What do you expect as an answer to this question?
Apr
21
comment unsure how to rearrange $f(x)$ into suitable $p(x)/q(x)$
please use LaTex
Apr
20
answered Problem related to permutations
Apr
20
comment Solve this recurrence relation
This is an (almost) full solution, just look at the first equation I wrote and subtract it form what you have. IF you're familiar with GFs, the rest shouldn't be a problem.
Apr
20
answered Solve this recurrence relation
Apr
19
comment Find distribution and the expected value of final grade
so if all of them select the same grade, what happens?
Apr
19
answered Sum of Square roots formula.
Apr
17
comment Proof of Frullani's Theorem
(+1), but why do you need $f$ to be monotone? It's enough for $g=f'$ to be continuous, which is what the OP wrote (continuously differentiable)
Apr
16
answered Radius of convergence of the series $ \sum\limits_{n=1}^\infty (-1)^n\frac{1\cdot3\cdot5\cdots(2n-1)}{3\cdot6\cdot9\cdots(3n)}x^n$
Apr
15
comment Continuity proof with epsilon-delta
This is a stronger condition, called Lipschitz continuous
Apr
15
answered How to integrate $(e^x + 2x)^2$?
Apr
14
comment Evaluate this finite product
multiply denominator and numerator by $(2n)!!$
Apr
14
comment Probability of intersection greater than product of probabilities?
No, it's true that $P( A \cap B) = P(A|B)P(B)$