Question
Let $f(x)=x^{3}-x^{2}+5 x-1$ and $g(x)=2 .$ Find $\lim _{x \rightarrow 3}(f \circ g)(x)$ and $\lim _{x \rightarrow 3}(g \circ f)(x)$.
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$$\text { Let } f(x)=\left\{\begin{array}{l}{x^{2}-5, x \leq 3} \\ {x+1, x>3}\end{array}\right.$$ Find: (a) $\lim _{x \rightarrow 3^{-}} f(x) ;(b) \lim _{x \rightarrow 3^{+}} f(x) ;$ and $(c) \lim _{x \rightarrow 3} f(x)$
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