1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
3 years ago
10

Find the limit of the function algebraically. (2 points) limit as x approaches zero of quantity x squared plus two x divided by

x to the fourth power.

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

DNE

Step-by-step explanation:

\lim_{x \to \0} \frac{x^{2} +2x}{x^{4} }

As you can see in the picture I attached to this, that as the limit goes to zero from the negative side, it approaches -∞ and from the positive side, it approaches ∞ . hence, the limit doesn't exist.

To show this algebraically, you have to imagine how a number divided by zero looks like, Just know the graph of 1/x and see how the limit to zero doesnot exist. I hope this helps!

You might be interested in
Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
<span>0 = a + b + 1
a + b = -1 </span>

<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b 
<span>4 = 2a + b </span>

So, we have two equations and  two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1 
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>

<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
6 0
3 years ago
Y varies as t. if y = 6 when t= 4
jonny [76]
See attachment file below.

Hope it helped!!

6 0
3 years ago
HELLLLLLLLPPPP <br> The value of x is
NeTakaya
Angle QRT is an exterior angle to the triangle.  The rule is that the exterior angle of a triangle is equal to the sum of its remote interior angles.  Those remote interior angles are angle RTS and angle TSR.  So our equation is 9x=(5x)+(9+x).  We can remove the parenthesis and simplify by combining like terms to get 9x = 5x + 9 + x and 9x = 6x + 9 and 3x = 9.  That means that x = 3. 
3 0
3 years ago
During a 10-day period, the balance of Martas chexking account dropped $290. Write a division expression ro represent the change
LenKa [72]
I did x - 10 =290 
           +10   +10
            -------------
             x = 300   so they took $1.00 a day
8 0
3 years ago
A cube of wood measures 9 cm on a side and weighs 28 grams what is the density of the cube of wood
77julia77 [94]

Answer:

25 grams

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, whereas the turkey special gives a
    8·1 answer
  • I need help asap!!! this is for my final
    14·2 answers
  • ANSWER THIS MATH QUESTION
    14·1 answer
  • A fence is 10 ft wide by 10 ft long. If posts are placed 2 feet apart how many posts are needed?
    14·1 answer
  • Please assist me with these problems​
    10·2 answers
  • Can y’all help me with this answer ASAP
    13·1 answer
  • Which expression is equivalent to 3 (5x – 4)?
    15·1 answer
  • What is the surface area of a cube that is 2 inches wide, 8 inches long, and 10 inches tall
    5·1 answer
  • According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate
    14·1 answer
  • HELP ASAP (best answer will get marked BRAINELEST)<br> solve step-by-step for each Question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!