Infinite series BSc maths Honours + general + Subsidiary

On this page you will get the theory videos of infinite series important for BSc maths Honours+general+Subsidiary and if you are doing any wocational course in which questions from infinite series is asked then it will really help you a lot.
Here all the videos are arranged in a regular and appropriate manner go through each and every videos one by one. Watch second video only after the completion of first video if you will study in this manner then you will understand each and every thing explain in the video but if you are watching randomly then you can face problems understanding the video languages. 
Infinite series first video, bounded sequence, concept of convergence divergence and oscillatory series


Prove that the series a+ar+ar²+..... Which is a series in GP is convergent only when common ratio r<1


If k is a funite number and ∑ uⁿ Converse to a sum s then ∑ kuⁿ also Converse and its sum is ks also if the first series diverse or oscilates so does the second unless k=0


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.


if the series u¹+u²+u³.....and v¹+v²+v³+... convert and their sums are s and t respectively then

  1. u¹+u²+u³+........ Converse and its sum is s.
  2. v¹+v²+v³+........ Diverges and its sum is t.

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