Answer all the questions below and press submit to see how many you got right.
Constant : Constant is another word for a fixed number that is mainly used in the context of expressions or functions like $f(x)=c$ that are equal to the same number irrespective of any variable.
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 $y.$
$$\lim \limits_{x\to0} \frac{(1+x)-1}{x}=$$ $$=\lim \limits_{x\to0} \frac{x}{x}=\lim \limits_{x\to0} 1=?$$
$$\lim \limits_{x\to0} \frac{(12+x)-12}{x}=$$ $$=\lim \limits_{x\to0} \frac{x}{x}=\lim \limits_{x\to0} 1=?$$
Squared : $x$ squared refers to the number $x^2=x\cdot x.$ For example 3 squared equals 9.
$$\lim \limits_{x\to0} \frac{(5+x)^2-5^2}{x}=$$ $$=\lim \limits_{x\to0} \frac{5^2+2\cdot 5\cdot x +x^2-5^2}{x}=$$ $$=\lim \limits_{x\to0} \frac{2\cdot 5\cdot x +x^2}{x}=$$ $$=\lim \limits_{x\to0} 2\cdot 5 +x=?$$