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SVETLANKA909090 [29]
3 years ago
15

Evaluate lim x → 0+ x ln(x3). solution the given limit is indeterminate because, as x → 0+, the first factor (x) approaches 0 co

rrect: your answer is correct. while the second factor ln(x3) approaches −∞. writing x = 1/(1/x), we have 1/x → ∞ as x → 0+, so l'hospital's rule gives lim x → 0+ x ln(x3) = lim x → 0+ ln(x3) 1/x = lim x → 0+ 3/x −1/x2 = lim x → 0+ incorrect: your answer is incorrect. = .
Mathematics
1 answer:
Degger [83]3 years ago
6 0

\displaystyle\lim_{x\to0^+}x\ln x^3=\lim_{x\to\infty}\frac{\ln\frac1{x^3}}x=-3\lim_{x\to\infty}\frac{\ln x}x=\frac\infty\infty

L'Hopital's rule tells us the limit is equal to

-3\displaystyle\lim_{x\to\infty}\frac{\frac1x}1=0

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Solve this equation<br> 16(1/4x-1/2)&gt;24-2x
jekas [21]

Answer:

x>14

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4>−2x+24

Step 2: Flip the equation.

−2x+24<−4

Step 3: Subtract 24 from both sides.

−2x+24−24<−4−24

−2x<−28

Step 4: Divide both sides by -2.

−2x−2<−28−2

x>14

5 0
3 years ago
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If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
Zielflug [23.3K]
950 is a real number, and it is a rational number since it can be expressed as 950/1. Therefore, it falls into all of the categories expect irrational numbers.
7 0
3 years ago
Correct answer gets brainliest what is 17/12 + 11/12
Diano4ka-milaya [45]

Answer:

\frac{28}{12} = \frac{7}{3} (they're the same)

Step-by-step explanation:

  1. \frac{17}{12} + \frac{11}{12} = \frac{28}{12}
3 0
3 years ago
Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the
Bezzdna [24]

Answer:

Remainder= 5, and the binomial (x-1) is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is (2x^3-3x^2+6) , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if (x-a) is a factor then remiander would be f(a)

Therefore for (x-1), \ {we find}\  f(1)}

f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5

Thus the remainder is 5 and since it is not 0 , so the binomial (x-1) is not a factor of the given polynomial.

6 0
3 years ago
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What is the value of the expression? −1/4+3/8 5/8 Enter your answer in simplest form.
galina1969 [7]
Decimal form
-0.015625

Exact form
-1/60
Negative one over sixty
7 0
3 years ago
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