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
Karo-lina-s [1.5K]
3 years ago
10

Lim x tanx/ 1-cosx x―>0 please help... ...?

Mathematics
1 answer:
lakkis [162]3 years ago
8 0
Note that 1 - cos(x) = 2sin²(x/2) 

⇒ lim x→0 xtan(x)/ [1 - cos(x)] = 

= lim x→0 xtan(x) / 2sin²(x/2) = 

= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²] 


Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1 

So the limit is : 

= 1/2 lim x→0 xtan(x) / (x²/4) = 

= 1/2 lim x→0 4/x² * xtan(x) = 

= 2 lim x→0 tan(x)/x = 

<span>= 2.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
You might be interested in
Monique buys a $4,700 air conditioning system using an installment plan that requires 15% down. How much is the down payment?
Gennadij [26K]
$705 is the down payment. 
4 0
3 years ago
Read 2 more answers
Exploring Volume of Pyramids
S_A_V [24]

Answer:2h

Step-by-step explanation:

7 0
3 years ago
Add 7 to me. Then subtract 10. If you subtract 5 and then add 9, you get 14. What number am I?
Vesna [10]

Answer:

your answer is 13.

am I correct.

3 0
3 years ago
PLEASE HELP ME! Select the correct answer. Consider function g. Which function could be the inverse of function g?
maria [59]

Answer:

A)  k(x)

Step-by-step explanation:

An inverse function does the opposite to the function.

For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".

An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>

Therefore (x, y) → (y, x)

(-8, 2) → (2, -8)

(-4, 3) → (3, -4)

(0, 4) → (4, 0)

(4, 5) → (5, 4)

(8, 6) → (6, 8)

Therefore, the function k(x) could be an inverse of function g(x).

8 0
2 years ago
Please help!
aleksklad [387]

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

3 0
2 years ago
Other questions:
  • Michael surveyed the basketball team and found a positive correlation of r=0.12 between students missing games due to acaemic pr
    6·2 answers
  • The triangles are isosceles and δabc : δjkl. what is the length of ?
    5·1 answer
  • Which fraction divided by 3/6 is equal to -9/10
    9·1 answer
  • Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that sh
    12·2 answers
  • If jimmy has 384 toy cars and his friend takes 197 of the cars how many cars dows jimmy have left
    12·2 answers
  • Which expression is equivalent to (73)−2?
    9·2 answers
  • A baker has 130 cookies to decorate for a charity event. He can decorate 10 cookies per hour. Which equation represents the numb
    15·1 answer
  • Kevin went car shopping. The scatterplot at the right shows the relationship between the number of miles each of the cars had an
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=x-2%3D11" id="TexFormula1" title="x-2=11" alt="x-2=11" align="absmiddle" class="latex-formula"
    11·2 answers
  • 4Write an integer to model the situation: a $4.99 delivery fee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!