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Mathematics
Felix Gervasi's user avatar
Felix Gervasi's user avatar
Felix Gervasi's user avatar
Felix Gervasi
  • Member for 10 months
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2
What is the limit function of $f_n(x) := \begin{cases} (x-n+1)(n+1-x): n-1 < x < n+1\\ 0: x \leq n-1 \lor x \geq n+1 \end{cases}$?
Mar 2
1
Proof that if $f$ is uniformly continuous then for every Cauchy sequence $(x_n)$ with $a < x_n < b$ $f(x_n)$ is also cauchy.
Nov 29, 2023
1
Proof that $\epsilon_{mach} \leq \frac{1}{2} b^{1-n}$
Feb 7
1
Does $\sum^\infty_{n=1} \frac{\textrm{sin}^2(n) + n^n}{1 + n^2e^nn!}$ converge?
Feb 29
1
Prove that $(X, d)$ is a complete metric space where $X$ is the set of all real sequences and $d: X \times X \to \mathbb{R}$ defined by...
Apr 17
1
Does $\sum^\infty_{n=1} \frac{\textrm{sin}^2(n) + n^n}{1 + n^2e^nn!}$ converge?
Feb 29
1
Proof that if $f$ is uniformly continuous then for every Cauchy sequence $(x_n)$ with $a < x_n < b$ $f(x_n)$ is also cauchy.
Mar 27
0
Prove that $\forall m \in \mathbb{Z}: f(x+m)=f(x) \ \forall x \in \mathbb{R}$
Feb 25
0
Does $\lim_{x \searrow 0} \frac{\int_{x^4}^{2x^4} f(y) \ dy}{x^4}$ converge?
Feb 26
0
What is the limit of $\lim_{x \to \infty} \frac{e^x x^5}{x^x}$?
Mar 10