Question 1165263
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The domain of the given function is all real numbers, so for continuity you must have *[tex \Large \forall\,a\,\in\,\mathbb{R},\,\lim_{x\right a^-}\,f(x)\ =\ \lim_{x\right a^+}\,f(x)]


So calculate *[tex \Large \lim_{x\right 1^-}\,f(x)] and *[tex \Large \lim_{x\right 1^+}\,f(x)] and see if they are equal or not.


The reason you don't have to worry about any other values in the domain is that each piece of the piecewise function is a polynomial with a restricted domain and all polynomials are continuous over their entire domain.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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