Hello I am currently self-learning about (algebraic-)topology using Hatchers book.
My definition of $n$-connected is that $\pi_k\left(X,X^n\right)=0$ for all $1\le k \le n$.
I do know about the cellular approximation theorem but how can I apply it here ? Is there any trick to show that any representative is homotopic to something with image in $X^n$ using cellular approximation ?
Would appreciate any help