If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)? The answer is No. We cannot. See the explanation below.
<h3>What is the justification for the above position?</h3>
Again, 'No,' is the response to this question. The justification for this is that the value of a function does not depend on the function's limit at a given moment.
This is particularly clear when we consider a question with a gap. A rational function with a hole is an excellent example that will help you answer this question.
The limit of a function at a position where there is a hole in the function will exist, but the value of the function will not.
<h3>What is limit in Math?</h3>
A limit is the result that a function (or sequence) approaches when the input (or index) near some value in mathematics.
Limits are used to set continuity, derivatives, and integrals in calculus and mathematical analysis.
Learn more about limits:
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Answer:
Step-by-step explanation:
reduced
transformed the expression to make it easier
add
reduce
Answer:
Step By Step Explanation:
Apply Exponent Rule 
Rewrite 84: 
Rewrite 24: 
Factor Out Common Term 
➤ 
Answer:
B. y ≤ |x – 2| + 4
Step-by-step explanation:
Shading is <em>below</em> the <em>solid</em> line, so the appropriate relation symbol is "less than or equal to" (≤).
Shading is <em>below</em> when y values less than those on the line are part of the solution set.
The line is <em>solid</em> when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values <em>equal to</em> those on the line are solutions to the inequality.
find the volume of the cone:
1/3 pi r squared × h
1/3 pi (1) squared × 2
= 2/3 Pi (feet cubed)
find the volume of the cylinder:
pi r squared × h
(the radius is 1 foot because its half the diameter which is 2 feet)
pi (1) squared × 2
= 2 Pi (feet cubed)
2 Pi is÷ 2/3 Pi
= 3
therefore it will take 3 cones of liquid to fill a cylinder with a diameter of 2 and height of 2
