Tagged Questions
1
vote
2answers
45 views
Monotonicity of a fraction
If I have a fraction $f(x) = \dfrac{n(x)}{d(x)}$, where $n(x)$ increases monotonically and $d(x)$ decreases monotonically; as functions of $x$.
Can I be sure that $f(x)$ increases monotonically as a ...
1
vote
1answer
165 views
Nested Division in the Ceiling Function
During class, we were introduced to a proof that used the ceiling function. We assumed (without proof) that:
$$ \left\lceil{\frac{n}{2^i}}\right \rceil= ...
0
votes
1answer
170 views
limit of floor function
I can solve the question limit of function like
$$
\lim\limits_{x\to\infty}\frac{\lfloor x-3\rfloor}{x-1}
$$
but I cant solve the question like
$$
\lim\limits_{x\to n^\pm}\frac{\lfloor ...
