Evaluate the limit:lim𝑥→−5𝑥2+𝑥−20𝑥+5=

To evaluate the limit of the function as x approaches -5, we first need to simplify the function. The function is a rational function, and it can be simplified by factoring.

The function is: (x^2 + x - 20) / (x + 5)

First, factor the numerator:

x^2 + x - 20 = (x - 4)(x + 5)

So the function becomes:

(x - 4)(x + 5) / (x + 5)

The (x + 5) terms cancel out, leaving:

x - 4

Now, substitute x = -5 into the simplified function:

-5 - 4 = -9

So, the limit of the function as x approaches -5 is -9.