# Continuity by Definition – Classify type of discontinuity – Exercise 831

Exercise

Given the function

$$f(x) = \begin{cases} \frac{\ln(3x+7)-\ln(5x+e)}{x^2}, &\quad x>0\\ -10+x^3, &\quad x \leq 0\\ \end{cases}$$

Is it continuous?

$$x=0$$