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:
Part 1) m∠1 =(1/2)[arc SP+arc QR]
Part 2) ![PR^{2} =PS*PT](https://tex.z-dn.net/?f=PR%5E%7B2%7D%20%3DPS%2APT)
Part 3) PQ=PR
Part 4) m∠QPT=(1/2)[arc QT-arc QS]
Step-by-step explanation:
Part 1)
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
m∠1 -----> is the inner angle
The arcs that comprise it and its opposite are arc SP and arc QR
so
m∠1 =(1/2)[arc SP+arc QR]
Part 2)
we know that
The <u>Intersecting Secant-Tangent Theorem,</u> states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
so
In this problem we have that
![PR^{2} =PS*PT](https://tex.z-dn.net/?f=PR%5E%7B2%7D%20%3DPS%2APT)
Part 3)
we know that
The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments
so
In this problem
PQ=PR
Part 4)
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In this problem
m∠QPT -----> is the outer angle
The arcs that it encompasses are arc QT and arc QS
therefore
m∠QPT=(1/2)[arc QT-arc QS]
Answer:
(1, 5 )
Step-by-step explanation:
Choose any value of x, substitute into the equation and solve for y
x = 1, then
4(1) + y = 9, that is
4 + y = 9 ( subtract 4 from both sides )
y = 5
Thus (1, 5 ) is a solution to the equation
Answer: 0.123456
Step-by-step explanation:
W=2L-5
-------------
A=L*W
=L(2L-5)
=2L²-5L
-------------
dA/dL=4L-5
When dA/dL=0,
4L-5=0
4L=5
L=5/4
----------------
When L=5/4
A=5/4*(2*(5/4)-5)
=5/4*(10/4-20/4)
=5/4*((-10)/4)
=5/4*(-5/2)
=-25/8
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*You may have been given a badly written out question. The answer doesn't make sense.