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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?

Final Answer


c=\ln 2

Solution

Coming soon…

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