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lisov135 [29]
3 years ago
5

Determine lim sin(x)/(x²-x)

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

The limit of a product is equal to the product of limits:

\displaystyle\lim_{x\to0}\frac{\sin x}{x^2-x}=\left(\lim_{x\to0}\frac{\sin x}x\right)\left(\lim_{x\to0}\frac1{x-1}\right)

You should recognize the first limit, which has a value of 1. In the second limit, the expression \dfrac1{x-1} is continuous at x=0, so its value is -1, and so the overall limit has a value of 1*(-1) = -1.

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Albert bought some fish at a grocery store at $2 per pound for salmon and $4 per pound for catfish. He spent a total of $12 on s
Gemiola [76]

Albert bought 2 pounds of catfish and 2 pounds of salmon

Let c represent the amount of catfish in pounds and s represent the amount of salmon in pounds.

He spent a total of $12 on salmon and catfish and bought a total of 4 pounds.  Hence:

c + s = 4    (1)

4c + 2s = 12    (2)

Solving equations 1 and 2 simultaneously gives:

c = 2, s = 2

Albert bought 2 pounds of catfish and 2 pounds of salmon

Find out more on equation at: brainly.com/question/2972832

7 0
2 years ago
Please answer this quickly!
kari74 [83]
54/1,000

just do Length x Width x Height 
7 0
3 years ago
A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expec
vlabodo [156]

Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

  1. Win $31 million
  2. Win $0

Then our expected value can be calculated as:

EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558

5 0
3 years ago
Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue licen
dezoksy [38]

Answer:

The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000

Step-by-step explanation:

If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.

There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers

The different combination of letters and numbers then becomes,

26 × 26 × 26 × 10 × 10 × 10 × 10

This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.

So, the standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 26 × 26 × 26 × 10 × 10 × 10 × 10 = 175760000 different standard issue license plates.

8 0
3 years ago
Please help with this question
Natasha_Volkova [10]
Divide 2,800 by 25 which equals 112, there are 112 rows in total
4 0
3 years ago
Read 2 more answers
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