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Calculus
In order for the limit to exists, the following must take place:
lim (x - 3) as x tends 0 from the left = lim (x + 1) as x tends to 0 from the right.
Let x = 0.
(x - 3) = (x + 1)
(0 - 3) = (0 + 1)
-3 DOES NOT EQUAL 1.
So, I can now say that the limit of f(x) as x tends to 0 DNE.
In order for the limit to exists, the following must take place:
lim (x - 3) as x tends 0 from the left = lim (x + 1) as x tends to 0 from the right.
Let x = 0.
(x - 3) = (x + 1)
(0 - 3) = (0 + 1)
-3 DOES NOT EQUAL 1.
So, I can now say that the limit of f(x) as x tends to 0 DNE.