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andre [41]
2 years ago
12

Consider the equation

Mathematics
1 answer:
Ksju [112]2 years ago
5 0
Put the equation in Photo math
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Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis
Lesechka [4]

Answer:

The limit of the function does not exists.

Step-by-step explanation:

From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.

For x<2

f(x)=6

The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.

For x>2

f(x)=-3

The value of y is 1 at x=2, because of he close circles on (2,1).

For x=2

f(x)=1

Therefore the graph represents a piecewise function, which is defined as

f(x)=\begin{cases}6& \text{ if } x2 \end{cases}

The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

lim_{x\rightarrow a^-}f(x)=lim_{x\rightarrow a^+}f(x)

The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.

lim_{x\rightarrow 2^-}f(x)=6

lim_{x\rightarrow 2^+}f(x)=-3

6\neq-3

Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.

6 0
2 years ago
Read 2 more answers
It is estimated that there are 10^20 grains of sand on a beach in Florida in April. The beach is heavily eroded by tourists over
lyudmila [28]
\bf \textit{how much is }\frac{1}{100}\quad of \quad 10^{20}?\implies \stackrel{\textit{one hundredth}}{\cfrac{1}{100}}\cdot 10^{20}\implies \cfrac{1}{10^2}\cdot 10^{20}&#10;\\\\\\&#10;10^{-2}\cdot 10^{20}\implies 10^{-2+20}\implies 10^{18}&#10;\\\\\\&#10;1,000,000,000,000,000,000~grains
5 0
3 years ago
(Who ever Answers the question for this lil guy&gt; ʕ •ᴥ•ʔ, Gets brainliest!!)
Valentin [98]

Answer:

Once upon a time i was on brainly. I was asked to make a story and solve 15 divided by 1/9 so thats what this is :D Obviously I would do better stories on topics not math related but I thought it would do. I Used 15x1/9 to solve the equation and my helpful calculator UvU Thats when I got the ugly number of 1.66666667 as my answer I was annoyed but it would have to do. I finished typing these last words and submitted Hoping that i would get brainliest and give it away UvU

Step-by-step explanation:

8 0
3 years ago
Name a diameter for the circle.<br><br> A.) DH<br> B.) DG<br> C.) EF<br> D.) FH
Phantasy [73]
D. FH

Diameter-
a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
4 0
3 years ago
What is the domain of the function f (x)=x^2+1
denis23 [38]
Alright, so since anything can be squared, the domain is (-inf, inf)
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3 years ago
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