Question

find the limit approaching positive infinity of f(x)-4x^2+2x-5/x

find the limit approaching positive infinity of f(x)=5x^(3/2)/4x^(1/2)+1

Answer 1

If you do the division, you get 4x + 2 + 5/x and then think about what happens as x gets very large. The 5/x part will approach 0. The 2 remains the same. 4x will become very large, so as x --> inf, (4x^2 + 2x - 5)/x also --> inf

Answer 2

Now on the second one, does f(x) look like this?

\[(5x^(3/2))/(4x^(1/2) + 1)\]

Answer 3

it's 5x^3/2 / 4x^1/2+1

Answer 4

Is the 1 in the denominator of the fraction?

Answer 5

yes

Answer 6

Ok, thanks! Just a minute, please.

Answer 7

I believe for this one f(x) would also approach positive infinity as x tends to infinity. Here is why:

As x becomes very large, the + 1 in the denominator becomes negligible. So your function is looking more like 5x^3/2 / 4x^1/2 . x^3/2 divided by x^1/2 is just x, so your function would start to look more like 5x/4 as x becomes very large. As x--> inf, 5x/4 will also --> inf.

Answer 8

Does that make sense?

Answer 9

yes thanks

Answer 10

You're welcome :)

Answer 11

What is the electron pair structure (electron geometry), shape (molecular shape),

Answer 12

Chinese HW check

Answer 13

Draw the lewis dot diagram for the following atoms

F

He

S

Answer 14

What is the volume of a piece of material where a 77.3g sample has a density of 0.

Answer 15

HOw many grams are in 2.47 mol of AgCI

Answer 16

general principle behind using u5f88 (hen) for adjectives/status verbs? like I kn

Answer 17

If anybody needs help with astronomy/astrology i'm really good with the subjects... except for the math parts cx

Answer 18

Are the following intensive and extensive properties?

Volume
Density

Answer 19

What is/are the units associated with the following quantity?

Volume
Density

Answer 20

Anatomy Tutorial: General Senses

Answer 21

Which of the following are not polynomials?
A.2/3x^-2+x+1
B.x^3+0x^2+2x+sqrt2
C.x^2/5+sqrt3x+1
D.2/x^3+x+1/2
E. x^-2+x+1

Answer 22

Why was an algae cell included along with the plant and animal cells?

Answer 23

Which of the following equations demonstrate that the set of polynomials is not c

Answer 24

Evie's family has the component of bulimia. Evie has had bulimia but recovered.
Now she is showing signs of anorexia.

Answer 25

PLANT, ANIMAL, AND ALGAE CELLS
What cell parts are common to all of these cells?

Answer 26

Health question:
Does genetics have to be involved with having an Eating Disorder

Answer 27

Calculate the circle circumfrance's upper bound if the area is 400cm(square)

Answer 28

Spanish help

Answer 29

Which statement is true about figures ABCD and A'B'C'D'?

Answer 30

Anatomy Tutorial: the Cerebrum