Proof of Continuity – A split function with polynomial functions and a parameter – Exercise 5876

Exercise

Given the function

$f(x) = \begin{cases}x^k, &\quad x\leq 2\\ 2x+4, &\quad x > 2\\ \end{cases}$

k is a parameter. For what values of the parameter the function is continuous?

Final Answer

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Solution

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