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]
3 years ago
8

Evaluate the following Lim (xcotx) x->00

Mathematics
1 answer:
lakkis [162]3 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
An advertising campaign is canceled before launch with probability 0.10, in which case the marketing company is fired with proba
Feliz [49]

Answer:

0.2231 (22.31%)

Step-by-step explanation:

defining the event F = the marketing company is fired, then the probability of being fired is:

P(F)= probability that the advertising campaign is cancelled before lunch * probability that marking department is fired given that the advertising campaign was cancelled before lunch + probability that the advertising campaign is launched but cancelled early  * probability that marking department is fired given that the advertising campaign is launched but cancelled early        ....   (for all the 4 posible scenarios where the marketing department is fired)

thus

P(F) =0.10 * 0.74 + 0.18 * 0.43 + 0.43 * 0.16 + 0.29*0.01 = 0.2231 (22.31%)

then the probability that the marketing department is fired is  0.2231 (22.31%)

7 0
3 years ago
If graphed in the plane, would the line y=5x-2 pass through the point (4,15)
yulyashka [42]

Answer:

no

Step-by-step explanation:

Using substitution, subs in the points given

(15) = 5(4) - 2

15 = 20 - 2

Because the 2 sides are NOT equal the line would not pass through the point

5 0
4 years ago
QUICK - 70 POINTS! GEOMETRY HOMEWORK
sukhopar [10]

a/c = d/a

you would cross multiply to get aa = cd

aa = a^2

so you would have a^2 = cd

6 0
3 years ago
Read 2 more answers
Diagram the statement three fourths of 40 little engines could climb the hill
Art [367]
That dont een make no sense tho
5 0
3 years ago
Help please!<br> 6x^2+2x-9=0<br> A 6.4, -8.4<br> B 1.1, -1.4<br> C -2.2, 2.8<br> D -1.1, -1.4
Yakvenalex [24]
6x^2+2x-9=0\\\\a=6;\ b=2;\ c=-9\\\\\Delta=b^2-4ac\to\Delta=2^2-4\cdot6\cdot(-9)=220\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-2-\sqrt{220}}{2\cdot6}=\dfrac{-2-\sqrt{220}}{12}\approx-1.4\\\\x_2=\dfrac{-2+\sqrt{220}}{2\cdot6}=\dfrac{-2+\sqrt{220}}{12}\approx1.1

Answer: B. 1.1; -1.4.
6 0
3 years ago
Other questions:
  • I need help ASSAP please also show work
    5·1 answer
  • letisha wants to read 33 pages a night.a t the rate, how long will it take her to read a book with 300 pages
    14·1 answer
  • A winter sport passed at Wood Middle school costs $15. A stydent without a pass must pay $1.75 for each event. How many events w
    8·1 answer
  • What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?
    9·1 answer
  • A sap help please Which question is statistical?
    8·2 answers
  • Commission is $63.06 and the commission rate is 5%
    12·1 answer
  • How do I start the equation?
    15·2 answers
  • What is the relationship of the angles
    14·2 answers
  • 5x + 1 = 11<br> What is the first step?
    15·2 answers
  • I believe X=4, but i could be wrong with the whole thing
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!