Answer all the questions below and press submit to see how many you got right.
Limit : The limit of a function $f$ for $x$ converging to $x_0$ or $\lim\limits_{x\to 0}f(x)$ is a number $y$ such that for every $\epsilon\gt 0$ there is a $\delta\gt 0$ with $|f(x)-y|\lt\epsilon$ for all $|x-x_0|\lt\delta.$ This means that if $x$ only gets close enough to $x_0$ it will get and stay arbitrarily close to $y.$
$\lim \limits_{x\to\infty} \frac{5}{x}=?$
Norm : The norm $\lVert v\rVert$ of a vector $v=\begin{pmatrix}v_1\\v_2\\ \vdots \\v_n\\\end{pmatrix}$ is given by $\lVert v\rVert=\sqrt{v\cdot v}$ $=\sqrt{v_1^2+v_2^2+\ldots+v_n^2}.$ The norm of a vector intuitively describes the length of that vector.
$\lim \limits_{x\to1} f(x)=12$ means which of the following?
$\lim \limits_{x\to\infty} \frac{14}{x}=?$