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
What are three main ways in Whitehall organisms interact
Degger [83]

Answer:

http://www.classzone.com/science_book/mls_grade6_FL/540_547.pdf

Step-by-step explanation:


7 0
3 years ago
Assume that the following events are independent: • probability that a randomly selected person has red hair is 0.14 • probabili
erastovalidia [21]
I think the answer is C.
3 0
2 years ago
Read 2 more answers
Find the slope of the line whose equation is 8y = 4 - 3x.
Sidana [21]
The slope is 3
whatever is in front of the x is the slope

5 0
3 years ago
Read 2 more answers
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

4 0
3 years ago
A professional diver began to descend at a rate of 9 feet per minute after jumping into the ocean at a depth of 7 feet. Which of
klemol [59]

See what you can do like ask what the change is

8 0
3 years ago
Other questions:
  • What is the length of ab
    12·1 answer
  • Can somebody help me out my mom won’t let me sleep until I do it
    7·1 answer
  • Alexa is planning to drive across the United States in
    8·2 answers
  • Solve the equation- 5y -9 = -(y - 1)
    7·2 answers
  • The shorter tree is 10.5 ft. tall, and casts a shadow that is 11.25 feet long.if the taller tree casts a 17.5 ft. shadow,how tal
    5·1 answer
  • (3/2)^(-2).......................................................................
    8·2 answers
  • What is the median of Restaurant A's food quality ratings?
    10·1 answer
  • Simplify: 5(<br> 6-3) + 2
    14·1 answer
  • Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna’s gross pay for last week was $
    13·1 answer
  • Item C sold half as many times as item D. Altogether, you sold 54 of these items. How many of items C did you sell today? How ma
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!