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Section 1: Basic Definition of Sequences | |||
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Lecture 1 | 02:36 | ||
Brief Introduction about Course Instructor and Content of the course. |
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Lecture 2 | 03:29 | ||
Let's start off this section with a discussion of just what a sequence is. A sequence is nothing more than a list of numbers written in a specific order. |
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Lecture 3 | 02:57 | ||
In this lecture we are given a sequence with particular pattern and we are asked about then general term of the sequence. How to find the general term of the sequence of pattern given below? 3/5 , -4/25, 5/125, -6/625, 7/3125 .... and so on. you will come to know how to find general term of sequence. |
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Lecture 4 | 03:42 | ||
In this lecture you will come to know how to represent the sequence by preceding notation. we have covered the examples of sequence like [n/(n+1)] and (-1)^n [n+1]/(3^n) |
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Lecture 5 | 01:47 | ||
In this lecture we will discuss about some sequence like Fibonacci sequence that do not have simple defining equation. How the Fibonacci sequence made? |
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Lecture 6 | 05:10 | ||
Let us plot graph of sequence like n/(n+1) and check about converges/diverges with the help of graph. |
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Lecture 7 | 01:38 | ||
Let us discuss about convergent or divergent of any sequence with the help of limit of the sequence. |
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Lecture 8 | 01:11 | ||
Let us draw One more graph of converging sequence. It approaches to single value L. |
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Lecture 9 | 01:12 | ||
Let us look at Additional example of converging sequence with the help of its graph. |
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Lecture 10 | 01:23 | ||
In calculus-I we have studied about limit of function but here we will study about limit of sequence. Let us see the difference in between two definition. Special theorem for limit of sequence from the definition of limit of function. |
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Lecture 11 | 04:14 | ||
Let us study about Limit laws of sequences. We have studied in our Calculus-I about Limit laws for the function but here we are going to explore the new limit laws for sequences. You will surprised that limit laws for sequence is just same as limit laws for function but little difference. |
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Lecture 12 | 01:49 | ||
In calculus, the squeeze theorem (known also as the pinching theorem, the sandwich theorem, the sandwich rule and sometimes the squeeze lemma) is a theorem regarding the limit of a function. You will study this theorem for Sequences as well. |
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Lecture 13 | 00:35 | ||
Do you ever think about absolute value of any Sequences? Let us explore it in this lecture. |
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Lecture 14 | 01:42 | ||
Let us do sample problem on Limit of Sequences. Here is the question (1) Find the limit of [n/(n+1)] as n------> infinity |
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Lecture 15 | 03:09 | ||
Let us do sample problem on Convergent/Divergent of Sequences. Here is the question (1) Check for the Convergent or Divergent of Sequence [n/sqrt(10+n)] as n------> infinity ? |
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