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Rus_ich [418]
1 year ago
14

Ask your teacher find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using i

t. lim x→1 [ln(x5 − 1) − ln(x3 − 1)]
Mathematics
1 answer:
liberstina [14]1 year ago
8 0

Answer:

  ln(5/3)

Step-by-step explanation:

The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.

<h3>Limit</h3>

We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

  \diplaystyle \lim\limits_{x\to1}{(\ln(x^5-1)-\ln(x^3-1))}=\lim\limits_{x\to1}\ln{\left(\dfrac{x^5-1}{x^3-1}\right)}\\\\=\lim\limits_{x\to1}\ln\left(\dfrac{x^4+x^3+x^2+x+1}{x^2+x+1}\right)=\ln{\dfrac{5}{3}}

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What is the value of the expression 12(m−23n) when m=32 and n=12 ?
Verizon [17]

are those the options? something is wrong here and I'm not sure what. I'm sorry if this is wrong, I tried my best

Answer:

-2,928

Step-by-step explanation:

12 ( 32 - [ 23 • 12 ] )

order of operations PEMDAS ( parenthesis, exponents, multiplication/division, addition/subtraction )

23 • 12 = 276

12 ( 32 - 276 )

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5 0
2 years ago
Please help me solveeeee
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

I think the only way you can solve this is to assume that <R means PRT in the given ratio. If I am wrong, I don't think the problem can be solved.

Find <T

Let <T = x

and <PRT = 3x

KLMN is a Parallelagram and therefore two adjacent angles are supplementary.

<PRT + <T = 180 degress

3x + x = 180 degrees

4x = 180

x = 45

So <T = 45

<PRT = 3*45 = 135

If RD is perpendicular to PS then <PDR = 90o

Here's the trick.

RD is also Perpendicular to RT

<MRD + <MRT = 90

<MRT = 180 - 90 - <T

<MRT = 180 - 90 - 45

<MRT = 45

Here comes your answer

=================

<MRD + MRT = 90

<MRD + 45 = 90

<MRD = 45

====================

Note: you must ignore everything to do with the diagram. It is not drawn to scale and the letters are not the same as in the question. The only thing you use is that the figure is a ||gm

8 0
3 years ago
greg invested $20 and qudrupled his money in five years.sabrena also invested $20 and after five years the amount was eqaul to 2
const2013 [10]

Answer:

The money of Greg after five years is $80

The money of Sabrena after five years is $160,000

So,The money of Sabrena is more than Greg after five years .

Step-by-step explanation:

Given as :

Greg invested $20 and quadrupled his money in five years

Let the quadrupled money after five years = $x

∵ quadrupled means the money becomes 4 times of previous

So, x = $20 × 4

i.e x = $80

So, The money of Greg after five years is $80

Again

Sabrena invested $20 and after five years money becomes 20 to the fourth power

Let the money after 20 to the fourth power = $y

So, y = 20^{4}

i.e y = 160,000

So, The money of Sabrena after five years is $160,000

∵ Sabrena money is more than Greg money

Hence, The money of Sabrena is more after five years . Answer

6 0
3 years ago
How many inches (in.) are in 1 foot (ft.)?
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Answer:

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7 0
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Answer:

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you can see this by comparing the labelled sides

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3 0
2 years ago
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