If $f:R \rightarrow R$ is defined by $f(x) = \lbrack x - 3\rbrack + \lbrack x - 4\rbrack$ for $x \in R$, then $\lim_{x \rightarrow 3^{-}}{f(x)}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(c)
$	herefore\ \ \ \ \lim_{x ightarrow 3^{-}}{f(x)} = \lim_{x ightarrow 3^{-}}{(\lbrack x - 3brack + |x - 4|)}$
$= \lim_{h ightarrow 0}{(\lbrack 3 - h - 3brack + |3 - h - 4|)}$
$= \lim_{h ightarrow 0}(\lbrack - hbrack + 1 + h)$
$= - 1 + 1 + 0 = 0$

Q. If $f:R \rightarrow R$ is defined by $f(x) = \lbrack x - 3\rbrack + \lbrack x - 4\rbrack$ for $x \in R$, then $\lim_{x \rightarrow 3^{-}}{f(x)}$ is equal to

Explanation

Reviewed by Dr. Abubacker

Want more practice?