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# Continuity by Definition – Continuity check by definition to a function with a parameter – Exercise 891

Exercise

Given the function (c parameter)

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

For which values of the parameter is the function continuous?

$$c=\ln 2$$