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Let \(f\) be the function defined by \(f(x)=\left{\begin{matrix}\frac{{x}^{2}−1}{{x}^{2}−2|x−1|−1}, & x\neq 1 \\ 1/2, & …

Q1

Let \(f\) be the function defined by

\(f(x)=\left{\begin{matrix}\frac{{x}^{2}−1}{{x}^{2}−2|x−1|−1}, & x\neq 1 \\ 1/2, & x=1\end{matrix}\right.\)

a

The function is continuous for all values of \(x\)

b

The function is continuous only for \(x>1\)

c

The function is continuous at \(x=1\)

d

The function is not continuous at \(x=1\)

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