Continuity by Definition – Continuity check by definition to a function with a parameter – Exercise 884

Exercise

Given the function (c parameter)

$f(x) = \begin{cases} \frac{e^{x^2}-1}{3x^2}, &\quad x\neq 0 \\ c, &\quad x =0\\ \end{cases}$

For which values of the parameter is the function continuous?

Final Answer

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Solution

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