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This course is not only virtual learning material . You can ask any questions related to Infinite Sequence and series after enrolling in this course.
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|Section 1: Basic Definition of Sequences|
Brief Introduction about Course Instructor and Content of the course.
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.
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.
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)
In this lecture we will discuss about some sequence like Fibonacci sequence that do not have simple defining equation.
How the Fibonacci sequence made?
Let us plot graph of sequence like n/(n+1) and check about converges/diverges with the help of graph.
Let us discuss about convergent or divergent of any sequence with the help of limit of the sequence.
Let us draw One more graph of converging sequence. It approaches to single value L.
Let us look at Additional example of converging sequence with the help of its graph.
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.
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.
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.
Do you ever think about absolute value of any Sequences? Let us explore it in this lecture.
Let us do sample problem on Limit of Sequences.
Here is the question
(1) Find the limit of [n/(n+1)] as n------> infinity
Let us do sample problem on Convergent/Divergent of Sequences.
Here is the question
(1) Check for the Convergent or Divergent of Sequence
as n------> infinity ?
Graduated in Electrical engineering from University of Rajasthan in year 2006, Taught over 1000 students of High school after graduation and still counting, worked as Yoga trainer and trained more than 700 person, Worked as an online tutor for mathematics. Provide coaching to students who prepare India's engineering entrance examination, competitive examination. Published 2 books on calculus, algebra. Prepare Exam papers and question bank based on Entrance exam/test prep after high school, Provide homework help through various freelancing websites, Build strong relationship with students globally to meet their subject requirement and help them to improve their grade and develop their interest in understanding of mathematics.
Worked as an Online tutor with reputed tutoring agency of India.
Enhanced knowledge of many students in the area of Calculus, Algebra, Probability, Statistics, Geometry, Vedic Mathematics, Trigonometry, and applications of mathematics in Economics, Engineering.
Producing and publishing Video on mathematics for students of all over India and Global students.
As a yoga trainer Conduct yoga session to aware people about respiration system, deep breathing through pranayama, asthang yoga of patanjali, give them Indian method of treatment of any disease through Ayurveda.
Through Yoga Session and training I reduced weight of many people, and cure obesity, constipation, acidity, and many common disease caused by inactive life style.
I am Full time Producer and Publisher of Video tutorials of self learning content.