$M\le \max_{t\in [0,1]}|at+b\sin t-t^2|\;\;,\;\;\forall \;a,b\in \mathbb{R}$
33454
Distance from a point to a plane in normed spaces
16634
How to show $\lim_{n \to \infty} \sqrt[n]{a^n+b^n}=\max \{a,b\}$?
437
Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$
98242
Integral inequality in $\Bbb R^n$
52711
Prove that the sequence $\{v_n\}$ converges to the maximum value of $f$ on $[a,b]$
43419
At unique critical point, does local max imply global max?
24683
For i.i.d. $\{X_n\}$ proving $\frac1n\max\limits_{1\leqslant k\leqslant n}|X_k|\xrightarrow{\mathrm{a.s.}}0\Leftrightarrow E(|X_1|)<+∞$
966
Show that $\lim_{n\rightarrow \infty} \sqrt[n]{c_1^n+c_2^n+\ldots+c_m^n} = \max\{c_1,c_2,\ldots,c_m\}$
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n
11744
Maximum and minimum of $f(x)=\cos(\sin(x))-\sin(\cos(x))$
131536
Maximum and minimum restricted
102817
$A,B\in M_{n}(\mathbb{R})$ so that $A>0, B>0$, prove that $\det (A+B)>\max (\det(A), \det(B))$
86105
Can $\{(f(t),g(t)) \mid t\in [a,b]\}$ cover the entire square $[0,1] \times [0,1]$ ?
80350
$\limsup \frac{a_n}{b_n}0$ s.t $a_n\le Mb_n$
74844
$f$ is bounded by $M$ on $[a, b]$ and if the restriction of $f$ to every interval $[c, b]$ where $c$ in $(a, b)$ is Riemann integrable
31303
If $p\in\Bbb Z[X]$ show that: $ \max\limits_{x\in [0,1]}\left|p(x) \right| > \frac{1}{e^{n}}. $
39451
Proving inequation with maximum and 2nd derivative