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Ratling [72]
3 years ago
14

Lim x-1 x2 - 1/ sin(x-2)

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

           \lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=0

Explanation:

Assuming the correct expression is to find the following limit:

         \lim_{x \to 1}\frac{x^2-1}{sin(x-2)}

Use the property the limit of the quotient is the quotient of the limits:

         \lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}

Evaluate the numerator:

          \frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}=\frac{1^2-1}{\lim_{x \to1}sin(x-2)}=\frac{0}{\lim_{x \to 1}sin(x-2}

Evaluate the denominator:

  • Since         \lim_{x \to1}sin(x-2)\neq 0

                  \frac{0}{\lim_{x \to1}sin(x-2)}=0

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Stan drives 30 minutes a day commuting to and from work. He drove h hours this week. How many days did he work?​
Maksim231197 [3]

Stan worked 2h days this week

Step-by-step explanation:

The given is:

  • Stan drives 30 minutes a day commuting to and from work
  • He drove h hours this week

We need to find how many days he worked

∵ Stan drives 30 minutes a day

∵ 1 hour = 60 minute

∴ 30 minutes = \frac{30}{30}=\frac{1}{2} hour

∴ Stan drives \frac{1}{2} hour a day

∵ He drove h hours this week

- To find the number of days that he worked divide the total

   hours he drove in this week by the hour he drives in a day

∴ The number of days = h ÷ \frac{1}{2}

- Change the division sign to multiplication sign and reciprocal the

   fraction after the division sign

∵ The reciprocal of \frac{1}{2} = \frac{2}{1} = 2

∴ The number of days = h × 2

∴ The number of days = 2h

Stan worked 2h days this week

Learn more:

You can learn more about word problems in brainly.com/question/2977815

#LearnwithBrainly

6 0
3 years ago
Can somebody please help me with this math question please
kondaur [170]

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

4 0
2 years ago
The customers at the bank would like to withdraw money from the automated teller machine. Help them enter their personal ID numb
vlabodo [156]

To withdraw money from the automated teller machine the numeric pattern required to complete the personal ID numbers is 2, 13, 24, 35,46,57,68.

As given in the question,

Using automated teller machine customers at the bank withdraw money

Numeric pattern given for the personal ID numbers is

2, 13, 24, 35

First term 'a'= 2

Common difference between consecutive terms are same

'd'=13 -2                                                  

   =11

It is an arithmetic progression series

nth term = a+ (n-1)d

5th term = 2 +(5-1)11

               =46

6th term =2+(6 -1)11

              =57

7th term= 2+ (7-1)11

             = 68

Therefore, to withdraw money from the automated teller machine the numeric pattern required to complete the personal ID numbers is 2, 13, 24, 35,46,57,68.

The complete question is:

The customers at the bank would like to withdraw money from the automated teller machine. Help them enter their personal ID numbers by completing the numeric patterns. 2, 13, 24, 35, ___, ___, ____.

Learn more about pattern here

brainly.com/question/14720576

#SPJ1

7 0
1 year ago
. What part of an hour is your school lunch time?
Nat2105 [25]

Answer: It's from 11:02 till 11:35. hbu?

Step-by-step explanation:

I do it online and I be eating 24/7

6 0
3 years ago
Help ya’ll smart people help me
torisob [31]

Answer:

1) -200

2) -126

3) -5 + (-10)

4) -10

5) -60 + (-85) + (-115) = -260

Step-by-step explanation:

You can just add all of them normally then add the negative sign (-) at the end.

Hope this helps!

3 0
3 years ago
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