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2 years ago

Can't quite figure out the limit problem

Mathematics

1 answer:

alisha [4.7K]2 years ago

7 0

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.

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4h = 17 what is the letter H?

Dafna1 [17]

Answer:

4.25

Step-by-step explanation:

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2 years ago

On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. His 70th birthday was this very day. All of h

DENIUS [597]

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

$g+d=33$

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

$2g+4d=84$

From the first equation (the one for the heads) we can derive

$g=33-d$

Substitute this into the second to get

$2g+4d=84 \implies 2(33-d)+4d=84 \iff 2d=18 \iff d=9$

So, there are 9 dogs and (from the first equation

$g=33-9=24$

8 0

2 years ago

The ratio of men to women at a lecture is 2 to 5 a total of 63 people are at the lecture how many are men

Ray Of Light [21]

60 should be ur answer

6 0

3 years ago

What is the answer to this question

julia-pushkina [17]

I hope this helps you

Formula => I=PRT

900=7500.R.2

R=900/15000

R=0,06

3 0

2 years ago

A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets

kari74 [83]

To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

162= (3^4)(2)

108= (2^2)(3^3)

180= (2^2)(3^2)(5)

We choose the common numbers with their lowest exponent:

M.C.D.= (2)(3^2)

M.C.D.= 2x9

M.C.D.= 18

The greatest number of baskets that can be made is: 18 baskets

To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

162/18= 9 apples

108/18= 6 oranges

180/18= 10 bananas

So, there are 9 apples, 6 oranges and 10 bananas in each basket.

3 0

3 years ago

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Can't quite figure out the limit problem ​

Can't quite figure out the limit problem