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

Exercise

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?

$$a=2, b=-3$$