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:
The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation:
Answer:
What are the following
Step-by-step explanation:
Answer
a) k=7, h=9, the unique solution of the system is 
b) If k=6 and h=8 the system has infinite solutions.
c)If k=6 and h=9 the system has no solutions.
Step-by-step explanation:
I am assuming that the system is x1+3x2=4; 2x1+kx2=h
The augmented matrix of the system is ![\left[\begin{array}{ccc}1&3&4\\2&k&h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%264%5C%5C2%26k%26h%5Cend%7Barray%7D%5Cright%5D)
. If two times the row 1 is subtracted to row 2 we get the following matrix![\left[\begin{array}{ccc}1&3&4\\0&k-6&h-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%264%5C%5C0%26k-6%26h-8%5Cend%7Barray%7D%5Cright%5D)
.
Then
a) If k=7 and h=9, the unique solution of the system is 
and solviong for 
,
Then the solution is
b) If k=6 and h=8 the system has infinite solutions because the echelon form of the matrix has a free variable.
c)If k=6 and h=9 the system has no solutions because the last equation of the system of the echelon form of the matrix is 
