Proving the sum of two functions is $\Theta$ of the max of those functions?
24951
Suppose $f_1 \in \Theta(g_1) \land f_2 \in \Theta(g_2)$. Prove $f_1 + f_2 \in \Theta(\max\{g_1, g_2\})$.
54512
How do I prove: $\cos (\theta + 90^\circ) \equiv - \sin \theta $
132126
Proving $\sum\limits_{n=1}^{\infty } \frac{\mu (n)}n=0$ where $\mu$ is the Möbius function
10211
Proving that $\sum\limits_{k=0}^{n} {{m+k} \choose{m}} = { m+n+1 \choose m+1 }$
143374
Elegant proof that maximum of sums is, at most, sum of maximums
60230
Prove that $\frac{1+\sin\theta+i\cos\theta}{1+\sin\theta-i\cos\theta}=\sin\theta+i\cos\theta$
24683
For i.i.d. $\{X_n\}$ proving $\frac1n\max\limits_{1\leqslant k\leqslant n}|X_k|\xrightarrow{\mathrm{a.s.}}0\Leftrightarrow E(|X_1|)<+∞$
154247
Proving $f(x)$ attains $\max$ or $\min$ when $f(x)\to0$ as $|x|\to\infty$.
53378
$\max(\{n: n+5 | n^5 + 5\})$
79969
Proof that a formula $\theta$ is valid if and only if $\forall x \theta$ is valid
97659
Am I on the right track to proving this statement about composite function?
126304
Determining bounds for the sum $\sum\limits_{n=1}^\infty \frac{1}{2^n - 3^n }$
966
Show that $\lim_{n\rightarrow \infty} \sqrt[n]{c_1^n+c_2^n+\ldots+c_m^n} = \max\{c_1,c_2,\ldots,c_m\}$
123732
Proving that the maximum of two convex functions is also convex
63879
Prove that $\sum_{k=0}^r {m \choose k} {n \choose r-k} = {m+n \choose r}$
123757
Proving a summation inequality with induction
26113
Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula