f(x) = \(\begin{cases}x + 1 & if\; x \geq1\\ x^2 + 1 & if\; x < 1\end{cases}\)

Question

Check the continuity

f(x) = (\begin{cases} x + 1 & if\; x \geq1\ x^2 + 1 & if\; x < 1 \end{cases} )

Answer 1

Let a R where R is the domain of f