1, the Lobida rule is a method to determine the uncertainty under certain conditions by taking the derivative and limit of the numerator and denominator respectively. The limit of the ratio of two infinitesimals or the limit of the ratio of two infinitesimals may or may not exist. Therefore, when seeking this kind of limit, it is often necessary to convert the appropriate deformation into the form of available limit algorithm or important limit for calculation.
2. L'H?pital's law is an important theorem in calculus, which solves many problems of finding the limit. The name of this theorem comes from the French mathematician L'H?pital. The importance of this theorem is that it can simplify the calculation of many limits. In some cases, it is very difficult to calculate the limit directly, but the result can be easily obtained by using L'H?pital's law.
3. L'H?pital law also has some restrictions. For example, this theorem can only be used under certain conditions, for example, the numerator and denominator must meet certain differentiability and limit conditions. In addition, L'H?pital's law can't solve all limit problems, and sometimes it needs to be combined with other mathematical methods to solve problems.
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1, limit is a very important concept in mathematics, which describes the behavior of a function near a certain point. In calculus, limit is used to define important concepts such as derivative and integral. The concept of limit can be traced back to ancient Greece, but it was not formally defined until17th century. At that time, mathematicians began to use the symbol ∞ to represent infinity.
2. With the development of mathematics, the concept of limit has been further promoted and improved. Now, we can use the limit to describe the behavior of the function at infinity, and we can also use the limit to describe the behavior of the function at a certain point. In addition, we can also calculate derivatives, integrals and other important concepts through limits.
3. In practical application, limit is also widely used in physics, engineering, economics and other fields. For example, in physics, we can use limits to calculate the speed and acceleration of objects; In economics, we can use limit to analyze the changing trend of market demand and supply.