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The Binomial Theorem is a way of multiplying out or expanding a binomial expression, which is raised to a large power. The formula for this kind of expression is very useful. There are many related series to Binomial that is known as Binomial Series. Binomial series is a complicated topic and students who pursue Mathematics often face difficulty to solve the problems related to Binomial theorem.

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## What is a Binomial Series?

The binomial theorem says that for a, b∈R, b∈Ra

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series enables you in using the binomial theorem where kk is not positive. A binomial series is applicable to a function f(x)=(1+x)k. It is stated below as the following:

1+x)k=∑n=0∞(kn)xn(1+x)k=∑n=0∞(kn)xn.

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A binomial theorem gives a finite sum while a binomial series gives an infinite sum. In a binomial distribution, there are two possible outcomes of success or failure. In a binomial series, on the other hand, there is no limit on its possible outcome. This theory is taught in several startup courses in various colleges. We have hired experienced Mathematicians who can offer you the quality assignment writing help for Binomial Series and they can help you solve the complicated problems with a lot of ease.

### Applications of Binomial Series

Some of the applications of Binomial Series are explained in our Binomial Series homework assignment help online as follows:

• It is an important part of Engineering Entrance Examinations. The binomial series and its expression have immense applications and it is very useful to simplify different lengthy computations.
• It is largely used in probability theories. A significant part of the US economy depends on probability analysis. It is useful in an economy for finding out the chances of profit or loss and this helps a lot for developing economies.
• It is used in higher mathematics and higher calculation. In specific scientific research studies, this is very useful for solving impossible equations. In Einstein equations, there is a lot of use of binomial series. Therefore, there are many laws and theorems related to Binomial.
• It is used to forecast services. You cannot forecast future weather without binomial series. Disaster forecast is dependent on binomial series.
• We use it in our daily lives. It is used to give ranking to the candidates. This probability will not be possible without a binomial series.
• Binomial series is used in architecture to give shape and decide the infrastructure areas and to find out the material you need to use in it. It helps you to estimate and calculate the total expenditure for building the building. All financial sites depend on binomial theorem indirectly.
• It has wide applications in mathematics including finding a remainder and digits of a number.

Properties of Binomial Series

There are a few important properties of the binomial series. The properties are discussed when you buy assignment help on Binomial Series as follows:

• The number of terms that are there in an expression (x+y)nis (n+1).
• nC0, nC1, nC2, … nCn are known as binomial coefficients and they are also represented by C0, C1, C2, … Cn
• The total number of exponents x and y is n.
• The binomial coefficients that are at equal distances from the starting from the ending are the same nC= nCn, nC= nC− 1, nC= nC– 2.

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