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
Ivanshal [37]
2 years ago
5

Lim 1 + cos TX5.x>1 tanưrex​

Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Answer: 1/2

\lim_{x \to 1}\frac{1+cos \pi x}{tan^{2}\pi x }\\\\ = \lim_{x \to 1} \frac{1+cos\pi x}{\frac{sin^{2}\pi x }{cos^{2}\pi x } } \\\\\\= \lim_{x \to 1}\frac{cos^{2}\pi x(1+cos\pi x) }{sin^{2}\pi x } \\\\\\= \lim_{x \to 1} \frac{cos^{2}\pi x(1+cos\pi x)}{1-cos^{2}\pi x }  \\\\= \lim_{x \to 1} \frac{cos^{2}\pi x }{1-cos\pi x} \\\\= \lim_{x \to 1}\frac{cos^{2}\pi .1 }{1-cos\pi .1}\\\\= \lim_{x \to 1}\frac{1}{1-(-1)}\\\\=\frac{1}{2}

Step-by-step explanation:

You might be interested in
Please Help its my birthday !!!
Naddik [55]

Answer:none

Step-by-step explanation:

Because they are all straight angle line

Y=2x —> positive line

Y=2-x —> negative line

Y=x2-2 —> positive line

Y=-2x —> negative line

You can also check this at desmos

8 0
2 years ago
4 people can dig a hole in 3 hours. How long does it take 9 people.
ad-work [718]

Answer: 1 hour 20 minutes

<u>Step-by-step explanation:</u>

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}

6 0
3 years ago
Read 2 more answers
Nicole works Monday through Friday and make $250 for her efforts. How much money does she make per day?
bixtya [17]

Answer:

$50 per day

Step-by-step explanation:

she works five days in week and she gets 250 bucks

250/5=50

5 0
3 years ago
I’m so lost please help fast
Romashka [77]
Your screen is to blurry, can you redo the question?? I’d like to help.
3 0
3 years ago
I need help with this as soon as possible
Arte-miy333 [17]
Yes the graph does show a proportional relationship because each x value has only one y value
5 0
3 years ago
Other questions:
  • Andrew jogs at an average speed of 5.5 miles per hour. He is planning a jog for Saturday morning. How far can Andrew go on his j
    6·1 answer
  • What does f(x) mean?
    13·1 answer
  • If and represent rational expressions and b0 and y0, what is true of their product? Select three options.
    8·2 answers
  • in June Mr Chen's students read 40 books. In July, they read 30 books. what is the percent increase or decrease in the number of
    9·2 answers
  • May somebody help me with this please?
    7·2 answers
  • A triangle has side lengths of 11 cm, 60 cm, and 61 cm. which is the correct equation to verify whether the side lengths form a
    7·1 answer
  • A new car costs $17,500 at a car dealership. If there is an 8% sales tax, what is the actual cost of the car?
    9·1 answer
  • SOMEONE HELPPPPPPPPPP
    8·2 answers
  • an item is regularly priced at $45 it is on sale for 20% off the regular price how much in dollars is discounted from the regula
    13·1 answer
  • Math homework pls help!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!