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Proof of Continuity – A split function with an exponential function and a parameter – Exercise 6257

Exercise

Given the function

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

c parameter. For what value of c is the function continuous at point x = 0?

Final Answer


c=1

Solution

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