I. Development

1, infinite series is a method to study the convergence and numerical value of the sum of ordered countable or infinite functions. The theory is based on the term series, which has the difference between divergence and convergence. Only when infinite series converge, there is a sum, and divergent infinite series has no sum.

2. Infinite series has a long history in mathematics. As early as the early days of calculus, their series were used to deal with transcendental functions, which was an important part of Newton and Leibniz's calculus work. Infinite series comes from Taylor formula and is the result of the mean value theorem of iterative calculus.

Second, the application

1 and infinite series play an important role in mathematical theory and practical application, and are widely used. First, infinite series is used for integral calculation and series summation. Secondly, infinite series can be used to approximate continuous functions. In addition, it can also construct a function that is continuous but differentiable everywhere.

2. Specifically, Taylor formula is a common example, and infinite series is the result of repeated iterations of Taylor formula. Therefore, infinite series is an important tool to study functions and plays an important role in theory and practical application.

The origin of infinite series is as follows:

1, power load, also known as power load, refers to the electric energy consumed by electrical equipment in the power system. Power load is a variable, which changes with different time periods and seasons. Power load directly affects the operation and stability of power system, so it is an important parameter of power system.

2. Power load can be divided into active load and reactive load. Active load refers to the power actually consumed, which is used to drive various electrical equipment, such as motors and heaters. Reactive load refers to the power consumed by inductive or capacitive load to generate magnetic field or electric field.

3. The characteristics of power load can be described from the following aspects: timeliness and seasonality: the size of power load will change with time. For example, the workload of working hours during the day is usually higher than that at night and weekends. In addition, seasonal changes will also affect the size of power load. For example, the increase of air conditioning load in summer will lead to a significantly higher electricity load in summer than in other seasons.