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4 years ago

How to algebraically find the limit of a function as x approaches infinity?

1 answer:

5 0

Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.

Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".

Hope this helps.

You might be interested in

How far did the Open Door policy towards China benefit the USA?

Studentka2010 [4]

Answer:

Open Door policy was rooted in the desire of U.S. businesses to trade with Chinese markets. The policy won support of all the rivals, and it also tapped the deep-seated sympathies of those who opposed imperialism, with the policy pledging to protect China's sovereignty and territorial integrity from partition.

Step-by-step explanation:

Look it up on google.
Copy and paste it.
You get the answer Open Door policy was rooted in the desire of U.S. businesses to trade with Chinese markets. The policy won support of all the rivals, and it also tapped the deep-seated sympathies of those who opposed imperialism, with the policy pledging to protect China's sovereignty and territorial integrity from partition.

4 0

3 years ago

Dose someone know this

nataly862011 [7]

What is there to answer...

5 0

3 years ago

Which equation is related to StartRoot x + 10 EndRoot minus 1 = x?

andrew-mc [135]

Answer:

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

$\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85$

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0

3 years ago

Read 2 more answers

What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?<br>

Alenkinab [10]

<h3>Answer: (-4, 8)</h3>

=========================================================

Explanation:

The 90 degree counterclockwise rotation rule we use is

$(x,y) \to (-y,x)$

the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.

After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.

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Extra info (optional section):

Define the following three points

A = (0,0)

B = (8,4)

C = (-4,8)

Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.

Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.

3 0

3 years ago