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$$ lim_{x to 0} frac{(sin x - tanh x)^2}{(e^{x}-1-ln{(1+x)})^3} overset{??}{=} frac{1}{36} $$ If you consult the graph it is intuitive to think that when $ x to 0...
Asked on 12/25/2020 by Toni Rivera Vargas
2 answerCan you prove why this recurrence relation holds for some (a subset of the) prime numbers? And does it go on infinitely? (I think it does) $$3P_{n} - 2P_{n...
Asked on 12/25/2020 by Joebloggs
1 answerAn elevator in a building can stop at floors $1$ through $6$. Four people get on the elevator at floor $1$ and each person picks a floor...
Asked on 12/25/2020 by user747916
0 answerI'm a bit confused how the Backward-Euler implicit integration method works for multiple variables (i.e., systems of differential equations). For single variables, we solve the implicit equation $$x(t + Delta...
Asked on 12/25/2020 by user541686
1 answerConsider $mathbb{N}$ with the topology generated by sets of the form $U_{a,b}=mathbb{N} cap {an+b: n in mathbb{Z}} $ where $text{gcd}(a,b)=1$. What are the continuous functions...
Asked on 12/25/2020 by TheDayBeforeDawn
1 answerWe know that after the prime factorization of that number when the powers of those prime factors +1 when multiplied with each other would result in 144.144 = (a+1)(b+1)....
Asked on 12/25/2020 by AdhirajSinghBrar
1 answerε-δ definition: $(forall epsilon >0) (exists delta >0)(forall x in D) (0 < lvert x - a rvert < delta Rightarrow lvert f(x) - L rvert < epsilon)$...
Asked on 12/25/2020 by Tiffany
2 answerLet $mathrm{f:(0, infty) rightarrow(0, infty)}$be a differentiable function such that $mathrm{{f}'left( frac{a}{x} right)=frac{x}{fleft( x right)}}$ where $a$ is positive constant and $f'(1) = 1$, ...
Asked on 12/24/2020 by siddharth kalra
2 answerI'm writing an essay for a popular (but mathematically mature) audience on the history of mathematical physics, wherein I have a section devoted to string theory. Unfortunately, neither I (nor...
Asked on 12/24/2020 by KeithMadison
1 answerThis is a rather soft question. My understanding: Suppose we have $x in ℝ$ and $x^2 = -1$ [in the normal interpretation]. Then the statement "there exists ...
Asked on 12/24/2020 by J-A-S
2 answerGet help from others!
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