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
Leya [2.2K]
2 years ago
8

Evaluate the following Lim (xcotx) x->00

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

Answer:

1

Step-by-step explanation:

Evaluate the following

Lim (xcotx)

x->0

Note that cotx = cosx/sinx

The expression becomes

Lim (xcotx) = Lim (xcosx/sinx)

x->0               x->0

= 0cos0/sin0

= 0/0 )(ind)

Apply l'hospital rule

= Lim d/dx(xcosx/sinx)

x->0          

= lim (-xsinx + cosx)/cosx

    x->0

= -0sin0+cos0/cos0

= 0+1/1

= 1/1

= 1

Hence the limit of xcotx as x tends to zero is 1      

You might be interested in
4. BASEBALL CARDS Ren and Chet nave
cricket20 [7]

Answer:

Chet has 14 baseball cards.

Step-by-step explanation:

Ren has 27 cards, which is 13 more than what Chet has.  So you subtract.  27-13=14.

5 0
3 years ago
The ratio of adults to children at a park is 1/3. The total number of people at the park is 36. How many children are at the par
Elodia [21]
24 children 12 adults
5 0
3 years ago
Read 2 more answers
he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu
Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean  (\nu) = 5700

standard deviation (\sigma ) = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

P(X > 4000)  = P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})

                      =  P(Z > - 1.13)     Using  (Z = \frac{X - \nu }{\sigma })

                      =  1 - P(Z

                      = 1 - .1292

                      = .8708

                       = 87.08%

7 0
3 years ago
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to boys?
marta [7]
1 boy to every 3 girls
6 0
2 years ago
Read 2 more answers
What is the value of the expression 24/x when x = 8?
erma4kov [3.2K]

Answer:

Itd be 3 becaus 24/8 is 3

8 0
3 years ago
Other questions:
  • The first truck in a convoy will carry 12 tons of dirt while each additional truck will carry 8 tons of dirt. Write a rule to mo
    8·1 answer
  • (a) find parametric equations for the line that passes through the point (−2, 5) and is parallel to the vector <3, −8>. (e
    9·1 answer
  • A chocolate cake recipe calls for 12 fluid ounces of milk. If your measuring cup is not marked in fluid ounces, how many cups of
    12·1 answer
  • There are 14 cars waiting to cross the ferry. The ferry can carry 3 cars at one time. How many trips will the ferry make to get
    12·2 answers
  • What is the fat percentage in one serving of a whole grain<br>​
    6·1 answer
  • An important problem encountered by personnel directors and others faced with the selection of the best in a finite set of eleme
    14·1 answer
  • Which ever person got my answer deleted
    13·1 answer
  • Evaluate. The problem is down below. Will award BRAINLIEST!
    15·1 answer
  • Can someone explain this to me please
    6·1 answer
  • Find the perimeter of a rectangle with a length of 3.25 meters and a width of 5.75 meters.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!