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
cluponka [151]
2 years ago
9

Find lim PLEASE I NEED HELP ASAP !!!!

Mathematics
1 answer:
stira [4]2 years ago
5 0

Computing the limit directly:

\displaystyle\lim_{h\to0}\frac{f(2+h)-f(2)}h=\lim_{h\to0}\frac{((2+h)^2+(2+h)+1)-7}h\\\displaystyle=\lim_{h\to0}\frac{5h+h^2}h\\=\displaystyle\lim_{h\to0}(5+h)=\boxed{5}

Alternatively, you can recognize the limit as being equivalent the derivative of <em>f(x)</em> at <em>x</em> = 2, in which case differentiating and plugging in 2 gives

<em>f'(x)</em> = 2<em>x</em> + 1   =>   <em>f'</em> (2) = 5

You might be interested in
Which inequality represents the situation? The maximum weight, w, an elevator can lift is 2,200 pounds. w ≥ 2,200 w &gt; 2,200 w
IgorLugansk [536]

Answer:

w ≤ 2200

Step-by-step explanation:

If a lift can lift a maximum weight of 2200pounds,<u> this means that the lift can not life a weight greater than 2200pounds.</u> For the expression needed, the inequality sign to use will be a less than or equal to sign( ≤ ).

Hence the requires inequality expression will be w ≤ 2200

6 0
2 years ago
The length of a rectangular plot of land is 10 yards more than its width. If the area of the land 600 square yards , find the di
vagabundo [1.1K]
<span>Let the width of the rectangular plot of land be 'x' yards. Given that the length of the rectangular plot of land is 10 yards more than its width. So, width of the rectangular plot of land = (x + 10) yards. Also given that the area of the rectangular plot of land is 600 square yards. We know that, area of a rectangle = length * width That is, (x+10) * x = 600 x^2 + 10x = 600 x^2 + 10x - 600 = 0 x^2 + 30x - 20x -600 = 0 x(x + 30) - 20(x + 30) = 0 (x +30)(x -20) =0 Therefore, either (x + 30) = 0 or (x - 20) = 0 If x + 30 = 0, then x = -30 and If x - 20 = 0, then x = 20 Since 'x' represents the width of a rectangular plot of land it cannot be negative. Therefore, width of the rectangular plot of land = 20 yards length of the rectangular plot of land= x + 10 = 30 yards</span>
5 0
3 years ago
DO,K = (0, 2) (0, 6)<br> The scale factor is<br><br> 0<br> 1/3<br> 3
romanna [79]

Answer:

3

Step-by-step explanation:

I say it is 3 because 2 * 3 = 6

6/2=3

I hope this helps you:)

8 0
3 years ago
Madison made her aunt a garden. The width is 6 5/6 ft and the length is 7 3/5 ft. What is the area of the garden and shown as a
Brums [2.3K]
Hello. How are you doing
5 0
2 years ago
Read 2 more answers
Asap....i need help...!!!!!
Citrus2011 [14]

Answer:

Step-by-step explanation:

b

7 0
1 year ago
Read 2 more answers
Other questions:
  • A. In two or more complete sentences, explain how to find the exact value of sec 13pi/6 including quadrant location
    15·1 answer
  • The volume of a sphere is 2,254 pi m^3 what is the surface area of the sphere to the nearest tenth?
    10·1 answer
  • Which net represents this solid figure? <br> plz hurry
    15·2 answers
  • The average of two numbers is 25 and their difference is 8. What are the numbers?
    13·1 answer
  • If 95 is added to a number, the result is 35 less than three times the number. Find the number
    14·2 answers
  • Ok so this is math question please help.
    11·1 answer
  • Farmer gray has 30 flowerpots. He plants 10 seeds in each pot. How many seeds does he plant?
    10·2 answers
  • The equivalent resistance of R1 = 1000 ohms and R2 = 1500 ohms connected in parallel is _____ ohms.
    12·1 answer
  • How much would you pay for an item if you paid $64.70 per month for 48 months?
    15·2 answers
  • If x &gt; 0 y &gt; 0 where is the point (x,y) located
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!