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3 years ago

Lim (sin(pi/x)) as x tends to 0 from both sides

Mathematics

1 answer:

strojnjashka [21]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

Limit does not exist.

Discussion:

The function 1/x has a vertical asymptote as x approaches 0 so

sin (pi/x) has no limit as x approaches 0. In fact, it oscillates wildly between -1 and 1 as x approaches 0. See attached graph of function

Thank you,

MrB

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The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t

Burka [1]

Hello,

Let's assume a,b,c the 3 numbers

a+b+c=62
b=a-4
c=4*a

==>a+(a-4)+4a=62
==>6a=66
==>a=11
b=11-4=7
c=4*11=44
The 3 numbers are 11;7;44

Proofs:
11+7+44=62
7=11-4
44=4*11

5 0

3 years ago

A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

Neko [114]

Answer:

The area after 6 years is $1519.49km^2$

Step-by-step explanation:

Given

$a = 2100$ --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

$y = a*(1 - r)^t$

Here

$t = 6$

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

$y = 2100*(1 - 0.0525)^6$

$y = 2100*(0.9475)^6$

$y = 1519.47866516$

$y = 1519.49$ -- approximated

The area after 6 years is $1519.49km^2$

4 0

2 years ago

Ryan is 23 years old he’s 24 years younger than his father, how old is his father?

faltersainse [42]

His father is 47 years old 23+24=47

3 0

3 years ago

Read 2 more answers

May someone help me on this

Umnica [9.8K]

Answer:

what do u gotta do? pick which ones right

3 0

3 years ago

Dave can complete a sales route by himself in 4 hours. James can do the same job in 5 hours. How long will it take them to do it

Alexeev081 [22]

We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.

If Dave can complete a sales route in 4 hours, then his working rate is

$\frac{1}{4}$

Also, if James can do it in 5 hours, then his working rate is

$\frac{1}{5}$

Let
$x$
be the hours that both will use to complete the sales route,

Then rate at which both completes this task is
$\frac{1}{x}$

Meaning if we add their individual rates we should get

$\frac{1}{x}$

That is;

$\frac{1}{4} + \frac{1}{5} = \frac{1}{x}$

The LCM is
$20x$

So let us multiply through with the LCM.

$20x \times \frac{1}{4} + 20x \times \frac{1}{5} =20x \times \frac{1}{x}$

$5x + 4x = 20$

We simplify to get,

$9x = 20$

Dividing through by 9 gives;

$x = \frac{20}{9}$

$x = 2\frac{1}{9}$

Therefore the two will complete sales route in
$2 \frac{1}{9}$
hours.

3 0

3 years ago

Lim (sin(pi/x)) as x tends to 0 from both sides​

Lim (sin(pi/x)) as x tends to 0 from both sides