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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 $\sum_{n=1}^{\infty} \frac{{(\ln n)}^{2}}{{n}^{2}}$ Apr22 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 Apr22 comment Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$ Thanks @BrianTung Apr22 revised Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$ added 3 characters in body Apr22 answered Calculate $\lim_{x\, \to \,\infty} \bigg(\frac{\sqrt[x]{1} + \sqrt[x]{2}}{2}\bigg)^x$ Apr22 comment Radius of convergence of the power series Someone with title 'Dr' should be surely capable of asking a question correctly Apr21 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? Apr21 comment unsure how to rearrange $f(x)$ into suitable $p(x)/q(x)$ please use LaTex Apr20 answered Problem related to permutations Apr20 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. Apr20 answered Solve this recurrence relation Apr19 comment Find distribution and the expected value of final grade so if all of them select the same grade, what happens? Apr19 answered Sum of Square roots formula. Apr17 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) Apr16 answered Radius of convergence of the series $\sum\limits_{n=1}^\infty (-1)^n\frac{1\cdot3\cdot5\cdots(2n-1)}{3\cdot6\cdot9\cdots(3n)}x^n$ Apr15 comment Continuity proof with epsilon-delta This is a stronger condition, called Lipschitz continuous Apr15 answered How to integrate $(e^x + 2x)^2$? Apr14 comment Evaluate this finite product multiply denominator and numerator by $(2n)!!$ Apr14 comment Probability of intersection greater than product of probabilities? No, it's true that $P( A \cap B) = P(A|B)P(B)$