The function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
<h3>What is continuity of a function?</h3>
It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.
We have a function:

If f(x) is a continuous, then it will follow:
f(2) = 2² - 2 = 4 - 2 = 2
Left-hand limit at 2 = right-hand limit at 2 = 2
Limit at 2 of a function = 2
Using limit, we can check the whether the function is differentiable or not.
Thus, the function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
Learn more about the continuous function here:
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Answer:
C) 256/3 pi
Step-by-step explanation:
Volume of a sphere is 4/3 × pi × r^3
The radius is half the diameter = 4

Donna's penny bank can hold 1080 coins.
Step-by-step explanation:
Step 1:
Assume the total number of coins that Donna's penny bank can hold is x.
So in the beginning, it was
full. So the number of coins were 
After adding 240 pennies, it became
full. So the number of coins are 
So it can be written as 
Step 2:
So we need to determine the total number of coins that Donna's penny bank can hold i.e. the value of x.


Rounding this off, we get that Donna's penny bank can hold 1080 coins.
Answer:
Step-by-step explanation:
12X-20=5-3X
12X+3X=5+20
16X=25
X=25/16=1.56
Step-by-step explanation:
1. 0
2. 42
3. 80
4. 48
5. 250
6.64
7. 90
8. 180
9. 42