Consider the following function f : {\displaystyle f:}
(a) Find lim x → 1 − f ( x ) . {\displaystyle \lim _{x\rightarrow 1^{-}}f(x).}
(b) Find lim x → 1 + f ( x ) . {\displaystyle \lim _{x\rightarrow 1^{+}}f(x).}
(c) Find lim x → 1 f ( x ) . {\displaystyle \lim _{x\rightarrow 1}f(x).}
(d) Is f {\displaystyle f} continuous at x = 1 ? {\displaystyle x=1?} Briefly explain.
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continuous at 
Briefly explain.