Power Series

Posted By on December 21, 2014


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Arithematic and Geometric Series
Taylor and Maclaurin Series

Powers of Natural Numbers

k=1nk=12n(n+1)
k=1nk2=16n(n+1)(2n+1)
k=1nk3=14n2(n+1)2

Special Power Series

11x=1+x+x2+x3+(for 1<x<1)
11+x=1x+x2x3+(for 1<x<1)
ex=1+x+x22!+x33!+
ln(1+x)=xx22+x33x44+(for 1<x<1)
sinx=xx33!+x55!x77!+
cosx=1x22!+x44!x66!+
tanx=xx33+2x51517x7315+(for π2<x<π2)
sinhx=x+x33!+x55!+x77!+
coshx=1+x22!+x44!+x66!+
Arithematic and Geometric Series
Taylor and Maclaurin Series

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Posted by Akash Kurup

Founder and C.E.O, World4Engineers Educationist and Entrepreneur by passion. Orator and blogger by hobby

Website: http://world4engineers.com