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
Andrew [12]
3 years ago
12

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→1 1 − x + l

n(x) 1 + cos(5πx)
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}

Evaluating the limand directly at x=1 gives an indeterminate form \dfrac00. Apply L'Hospital's rule once and we get

\displaystyle\lim_{x\to1}\frac{-1+\frac1x}{-5\pi\sin5\pi x}

Again, plugging in x=1 returns \dfrac00. Apply the rule once more:

\displaystyle\lim_{x\to1}\frac{-\frac1{x^2}}{-25\pi^2\cos5\pi x}=\frac1{25\pi^2}\lim_{x\to1}\frac1{x^2\cos5\pi x}

Now, in the denominator, when x=1 we get x^2\cos5\pi x=-1, so the limit is -\dfrac1{25\pi^2}.

You might be interested in
This is the question.<br><br><br><br> solve (3.4)x(0.2)
Umnica [9.8K]

Answer:

0.68

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5
Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element=\frac{1}{6}

We have to find that P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)

Total number of elements=6

C_1={1,2,3,4}

Number of elements in C_1=4

P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}

Using the formula

P(C_1)=\frac{4}{6}=\frac{2}{3}

C_2={3,4,5,6}

Number of elements in C_2=4

P(C_2)=\frac{4}{6}=\frac{2}{3}

C_1\cap C_2={3,4}

Number of elements in (C_1\cap C_2)=2

P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}

C_1\cup C_2={1,2,3,4,5,6}

P(C_1\cup C_2)=\frac{6}{6}=1

4 0
3 years ago
Not sure on how to solve anymore.<br> A)43.92<br> B)41.45<br> C)68.87<br> D)33.1
Alenkasestr [34]
Sin (37°) = opposite side/Hypotenuse

sin (37°) =CV/55 →CV = 55.si  (37°)

CV = 55 x (0.601815)
CV= 33
3 0
3 years ago
Salem wants to create a table of ratios that are equivalent to 2/3
aleksley [76]

Answer:

2/3 would be equal to 4/6, not 5/6.4/5 can't be equivalent to 2/3 either.

Step-by-step explanation:

7 0
3 years ago
A car for $10,000 and a $8,000 loan is taken. The loan is for 3 years and the interest
Svetlanka [38]

Answer:

10922 thats the answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • Classify 4x^5+2x^4-5x^3+12 by number of terms
    13·2 answers
  • Why does a y-intercept not count as a zero?
    6·1 answer
  • The measure of an angle is 8 degrees less than three times the measure another angle. If the two angels are supplementary, what
    13·2 answers
  • 0.0000672 in standard form?​
    9·1 answer
  • Which of the following sets of ordered pairs is a functionB
    7·1 answer
  • Dilation with a scale factor of 0.75.
    9·2 answers
  • Find the value of each expression.
    7·1 answer
  • In the figure, m&lt;2 = 83, and m&lt;21 = 68. Find the measure of each angle
    11·1 answer
  • A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
    13·1 answer
  • CALC BC HELPPP!!!??? 100PTS!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!