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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?
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?
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?
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?
What is the purpose of limits in calculus and mathematical analysis?
What is the purpose of limits in calculus and mathematical analysis?
Which mathematician gave the first definition of limit?
Which mathematician gave the first definition of limit?
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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