A function $f$ is said to have a removable discontinuity at $a$ if:
1. $f$ is either not defined or not continuous at $a$.
2. $f(a)$ could either be defined or redefined so that the new function is continuous at $a$.

Let $f(x) =\frac{2x^2+5 x -75}{x-5}$.
Show that $f$ has a removable discontinuity at $5$ and determine the value for $f(5)$ that would make $f$ continuous at $5$.
Need to redefine $f(5)=$ .

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