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Which of the following is the correct notation for the limit of a function as x approaches c?
Which of the following is the correct notation for the limit of a function as x approaches c?
- lim x -> c f(x) -> L
- lim x -> c f(x) -> c
- lim x -> c f(x) = L (correct)
- lim x -> c f(x) = c
What is the purpose of limits in calculus and mathematical analysis?
What is the purpose of limits in calculus and mathematical analysis?
- To define continuity
- To define derivatives
- To define integrals
- All of the above (correct)
Which mathematician gave the first definition of limit?
Which mathematician gave the first definition of limit?
- Gottfried Wilhelm Leibniz
- Isaac Newton
- Grégoire de Saint-Vincent (correct)
- Leonhard Euler
What is the generalization of the concept of a limit of a sequence?
What is the generalization of the concept of a limit of a sequence?
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How is the fact that a function f approaches the limit L as x approaches c denoted?
How is the fact that a function f approaches the limit L as x approaches c denoted?
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Which of the following is the correct notation for the limit of a function as x approaches c?
Which of the following is the correct notation for the limit of a function as x approaches c?
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How is the fact that a function f approaches the limit L as x approaches c denoted?
How is the fact that a function f approaches the limit L as x approaches c denoted?
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What is the purpose of limits in calculus and mathematical analysis?
What is the purpose of limits in calculus and mathematical analysis?
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Which mathematician gave the first definition of limit?
Which mathematician gave the first definition of limit?
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What is the generalization of the concept of a limit of a sequence?
What is the generalization of the concept of a limit of a sequence?
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