Proof of Continuity – A split function with a rational function and a parameter – Exercise 6252

Exercise

Given the function

f(x) = \begin{cases} \frac{3x^2+x-4}{x-1}, &\quad x\neq 1\\ c, &\quad x=1 \\ \end{cases}

c parameter. For what value of c is the function continuous at point x = 1?

Final Answer

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Solution

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