Find the limit (x^2+x-6)/(x+3) when x approach -3.

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limit (x^2+x-6)/(x+3) when x approaches -3

first we need to find the value of the function when x=-3

then, lim (-3^2 -3 -6)/-3+3 = 0/0

0/0 means that this method has failed because both fuctions has a root of -3

Now we try to factor the function:

limit (x^2+x-6)/(x+3) = lim...

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limit (x^2+x-6)/(x+3) when x approaches -3

first we need to find the value of the function when x=-3

then, lim (-3^2 -3 -6)/-3+3 = 0/0

0/0 means that this method has failed because both fuctions has a root of -3

Now we try to factor the function:

limit (x^2+x-6)/(x+3) = lim (x+3)(x-2)/(x+3 = lim (x-2)

then lim(x-2) as x --> -3 is (-3-2) = -5

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