Continuity by Definition – Continuity check by definition to a function with parameters – Exercise 920


Given the function (a and b parameters)

f(x) = \begin{cases} 1+x^{-\frac{a}{x}}, &\quad x>0\\ b, &\quad x = 0\\ {(1+a^2 x-9x)}^{\frac{1}{x}}, &\quad x<0\\ \end{cases}

For which values of the parameters is the function continuous?

Final Answer

a=-3, b=1


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