The
dividing out technique is used where direct substitution leads to a 0/0 scenario and when a
common factor exists between numerator and denominator.
Lets evaluate each of
the four options here:
1) Denominator is x+3 and limit approaches 3. This
equation will not have a 0/0 scenario.
2) The numerator x^2-16 can be written
as (x-4)(x+4). We can see that numerator and denominator have a common factor (x-4).
The equation can be simplified as (x+4) after canceling out common factor
(x-4).
And dividing out technique gives the answer as 4+4 = 8.
3) We do not have a 0/0 scenario and there is no common...
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