Continuity by Definition – Continuity check by definition to a function with parameters – Exercise 859


Given the function (a and b parameters)

f(x) = \begin{cases} \frac{x^2+ax+b}{x-1}, &\quad x \neq 1\\ 4, &\quad x = 1\\ \end{cases}

For which values of the parameters is the function continuous?

Final Answer

a=2, b=-3


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