Proof of Continuity – A split function with polynomials – Exercise 6243


Given the function

f(x) = \begin{cases} x^2+2x+\frac{50}{9}, &\quad x>1\\ \frac{5}{9}x+8, &\quad x < 1\\ \end{cases}

Is it continuous at point x = 1? If not, what kind of discontinuity do you get?

Final Answer

No, there is a removable discontinuity


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