- #1
Macleef
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What is the solution for a limit problem with an indeterminate form of 0/0?
- Thread starter Macleef
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In summary, the conversation discusses a mathematical problem involving the expression 0/0 and the suggestion to use L'Hopital's rule to solve it. It is mentioned that a previous trick and suggestion did not work, but using L'Hopital's rule and multiplying by 2+sqrt(x) does work.
- #2
Mathdope
- 139
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You should have 0/0 not 6/0. In any case, try a trick similar to what you did with the radical in the denominator.
- #3
workerant
- 41
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Well if you plug the four in initially you get:
2-2/(3-3)=0/0
Your trick did not work nor does using the other radical as Mathdope suggests.
But, never fear, 0/0 limits call for one man...
L'Hopital!
Since it is indeterminate form, it is eligible for L'Hopital's rule. That should make it work.
2-2/(3-3)=0/0
Your trick did not work nor does using the other radical as Mathdope suggests.
But, never fear, 0/0 limits call for one man...
L'Hopital!
Since it is indeterminate form, it is eligible for L'Hopital's rule. That should make it work.
- #4
Dick
Science Advisor
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workerant said:
Multiplying by 2+sqrt(x) does so work. You can then cancel the factor that's going to zero in the numerator and the denominator.
1. What is a limit problem?
A limit problem is a mathematical question that involves finding the value that a function approaches as its input approaches a certain value. It is used to understand the behavior of a function near a particular point.
2. Why are limit problems important?
Limit problems are important because they are used in many areas of mathematics and science, such as calculus, physics, and engineering. They help us understand how a function behaves and make predictions about its behavior.
3. How do you solve a limit problem?
To solve a limit problem, you need to use mathematical techniques such as substitution, factoring, and L'Hopital's rule. You also need to understand the properties of limits, such as the limit laws and the squeeze theorem.
4. What are the different types of limit problems?
There are three main types of limit problems: finite limits, infinite limits, and limits at infinity. Finite limits involve finding the value of a function at a specific point, infinite limits involve finding the behavior of a function as it approaches positive or negative infinity, and limits at infinity involve finding the behavior of a function as its input approaches infinity.
5. How are limit problems used in real life?
Limit problems are used in many real-life applications, such as calculating the velocity and acceleration of objects in motion, predicting population growth, and analyzing the behavior of electrical circuits. They are also used in economics, biology, and other fields.
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