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1 answer:
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The coordinates of the point P given by mean the point P is
at a distance horizontally in the positive x-direction if
and at a distance
horizontally in the negative x-direction if
.
Also, point P is at a distance horizontally in the positive y-direction if
and at a distance
horizontally in the negative y-direction if
.
Hence the point with coordinates is 4 units horizontally in the positive x-direction and 2 units vertically in the negative y-direction. So the point is is H. Correct choice is (2).
Answer:
The general limit exists at <em>x</em> = 9 and is equal to 300.
Step-by-step explanation:
We want to find the general limit of the function:
By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.
So, let's find each one-sided limit: the left-hand side and the right-hand side.
The left-hand limit is given by:
<h3>Since the given function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
The right-hand limit is given by:
Again, since the function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
Thus, we can see that:
Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.