Please, I need some help with this exercise
Consider the space
$X=\bigcup_{n\in \mathbb{N}} \{\frac{1}{n}\}\times[0,1]\cup ([0,1]\times\{0\})\cup(\{0\}\times [0,1]),$
With the topology of subspace of $\mathbb{R}^2$. Show that $X$ is connected but not locally connected