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2 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

Write the equation of the ellipse using the given information:

horsena [70]

We know, equation of ellipse is given by :

$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$

Here,

(h,k) is centre of the ellipse = (0,0).

a = major axis = 8.

b = minor axis = 4.

Putting all given value in above equation, we get :

$\dfrac{(x-0)^2}{8^2}+\dfrac{(y-0)^2}{4^2}=1\\\\\dfrac{x^2}{8^2}+\dfrac{y^2}{4^2}=1\\\\\dfrac{x^2}{64}+\dfrac{y^2}{16}=1$

Hence, this is the required solution.

8 0

2 years ago

16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) =

erastova [34]

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

$E'(x) = 10x + 11$

Substitute 5 for x

$E'(5) = 10 * 5 + 11$

$E'(5) = 50 + 11$

$E'(5) = 61$

Hence, the expenditure for 5 days is $61

3 0

2 years ago

Please help if right I will give BRAINLIEST and 25 points

Allushta [10]

The total area is 448 in^2. Each triangle is 56 in^2 and each parallelogram is 140 in^2

5 0

2 years ago

What is 12 3/4 - 11 7/8?

Sergeu [11.5K]

11.9 would be the correct answer I believe

3 0

2 years ago

Please help <br> The diagram shows a 5ft student standing near a tree

Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$ , where 'x' represent the height of the tree

cross-multiply: x = (5)(5) or 25 ft

8 0

2 years ago