Question

Precise limit definitions, writing out the 24 definitions on a table.

Answer 1

I am suppose to fill out this table out, but I am like ??? atm.

Answer 2

If the table is difficult to read, then we can do it case by case, for example,
\[\lim_{x \rightarrow a}=L\]

∃δ>0 and
∀ϵ>0


∋0<|x−a|<δ
-->
|f(x)−L|<ϵ

Answer 3

\[\lim_{x \rightarrow a^+}f(x)=+\infty \]
\[\forall M > 0 \exists \delta > 0 \ni 0 < x - a < \delta \]
=> f(x) > M

Answer 4

There are 24 precise limit definition cases total.

Answer 5

\[\lim_{x \rightarrow a^-}f(x) = - \infty \]
\[\forall M > 0 \exists \delta > 0 \ni 0 < x - ( - a ) < \delta \]
Would those statement be correct for this definition?