Question

Lim ( x^3 + 5x^2 – 7x – 35) / (x+5)
x→-5

Answer 1

did you check what happens if you plugin \(x=-5\) ?

Answer 2

thats what im learning now and i think you just do what spacelimbus said just plug it in

Answer 3

also note that you can write the nominator differently so it will cancel out with the denominator

Answer 4

btw its numerator

Answer 5

sorry, I still don't get it. I know the answer is 18 , but how???

Answer 6

\[x^3 + 5x^2 – 7x – 35=(x+5)(x^2-7) \]

Answer 7

so you see that the \((x+5)\) from the denominator cancels out, you remain left with \(x^2-7\) now plugin \(x=-5\) will give you \((-5)^2-7=25-7=18\)