A. equals 2 B. does not exist C. equals 0 D. equals 1

Mathematics

1 answer:

insens350 [35]1 year ago

6 0

The limit of f(x) as x goes to 2 is given by:

C. 0.

<h3>What is a limit?</h3>

A limit is given by the value of function f(x) as x tends to a value a, that is, we have to look to the left of x = a and to the right of x = a, and if these values are equal, this is the limit of the function.

In this problem, we have that:

To the left of x = 2, f(x) approaches 0.

To the right of x = 2, f(x) approaches 0.

Since the lateral limits are equal, the limit of the function as x approaches 2 is of 0 and option C is correct.

More can be learned about limits at brainly.com/question/26270080

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Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the

Neko [114]

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Answer:

(8.49; 225°)

Step-by-step explanation:

The angle is a 3rd-quadrant angle. The reference angle will be ...

arctan(-6/-6) = 45°

In the 3rd quadrant, the angle is 45° +180° = 225°.

The magnitude of the vector to the point is its distance from the origin:

√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49

The polar coordinates can be written as (8.49; 225°).

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<em>Additional comment</em>

My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.