sequence and series calculus


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Logarithmic Series
Logarithmic Series - If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x). If x is a real number such that |x|<1, then the h..
Exponential Series
If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and we denote it by e x..
Exponential Series
Exponential Series - If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and we denote it by .If x is any complex number then the series is called the ex..
Exponential and Logarithmic Series
Introduction - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..
Introduction Exponential and Logarithmic Series
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficients, the inequality 2 n - 1 n! for n N etc.In ..
Some Particular Logarithmic Series
The following are the Some Particular Logarithmic Series: ..
Particular Exponential Series
Particular Exponential Series - for any complex number x. i) For complex number x. ii) For complex number x, iii) For example number ..
Summary Exponential and Logarithmic Series
Summary Exponential and Logarithmic Series - 2 < e < 3 The value of e rounded off to four decimal places is 2.7183. For complex numbers x,y, we have e x + y = e x y y . For any rational number x, the sum, e x , of the series..
Graph of Logarithmic Series
We see that as x increases from 0 to , the value of log x also increases indefinitely. The function log x is one-on..
Introduction
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..
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