Question
Evaluate the following limits:
$\lim _{x \rightarrow 0}[x]$ ([] is a greatest integer function.)
$\lim _{x \rightarrow 0}[x]$ ([] is a greatest integer function.)
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A × (B ∩ C) = (A × B) ∩ (A × C)
Find the limit of the function, if it exists, at $x=1$
$
f(x)=\left\{\begin{array}{lll}
7-4 x & \text { for } & x<1 \\
x^2+2 & \text { for } & x \geq 1
\end{array}\right.
$