Problem $1$: Given f$($x$)=$x$+1/$x

Find f$($x$)$ x to $0-$ and f$($x$)$ x to $0+$ in three ways:

Numerical intuition $($what dominates the numerator and denominator$)$

Python $($see code snippets$)$

Desmos

Write a short description of the information contained in each approach and how they are different facets of the same limit$.$