Function Composed by successions

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Assume that $\phi:\mathbb{R}\to\mathbb{R}$ is a continuous function and so is defined the succession of function $f_n:\mathbb{R}\to\mathbb{R}$, which converges at $f$.

What can we say about the succession $\phi\circ f$?

Let me know if there's someone who can help me! thanks a lot