real analysis - Eliminate removable discontinuities of non-rational function - Mathematics Stack Exchange

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I have a function that has a removable discontinuity at $x=0$: $$f(x)=\begin{cases} \frac{18x^3}{(9x^2-1)+(3x^2+1)^{3/2}}, & x \ne 0 \\ 0, & x=0 \end{cases}$$ By playing around (expanding