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Continuity by Definition – Continuity check by definition – Exercise 825

Exercise

Given the function

f(x) = \begin{cases} e^{3x}, &\quad x<0\\ x^2, &\quad x \geq 0\\ \end{cases}

Is it continuous?

Final Answer

No. The point

x=0

is a jump discontinuity point.

Solution

Coming soon…

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