Is the space $L^{2}[-\pi,\pi]$ finite or infinite dimentional?
2026-04-26 04:20:28.1777177228
Finite and Infinite Dimentional Spaces.
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Show that the set $\{\sin(nx): n \in \mathbb N\}$ is linear independent in $L^{2}[-\pi,\pi]$.
Conclusion ?