Calculus 2: Infinite Sequences and Series (29 of 62) Series: A Special Technique Ex. 2

In this video I will explain and show special techniques of finding the sum of an infinite series, example 2.

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[annasarahkramerfazendeiro]

Looking forward to the other videos! Great work, as always!

[MasayoMusic]

Excellent series. I look forward to the rest of the videos.

[jota]

hello, can somebody explain to me why ax^n-1= a/1-x... where does this 1-x comes from?

[hadiabadi]

if we keep the 5 outside and take a to be 1/9 and x as 1/9 the sum will be (1/9)/(1-1/9)==1/8 the multiply by 5 that equals 5/8 BOOM!

[GuruKondalu]

Sir actually instead of adding and subtracting directly we can take some of infinite series as 5 ( 1/9 +1/81 +1/729) = 5 *( a/(1-r) = 5*[ (1/9)/(1-(1/9)] = 5/8