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1RADHIKAA1
@1RADHIKAA1
August 2021
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Chapter, Sequence and series - Approximatiom by using binomial series. Explain it well plz
Answers & Comments
kvnmurty
Verified answer
To show that if x is very small that is x << 1, like x = 0.01, 0.04 , 0.008 ...
square root of [(1+x)/(1-x) ] = 1 - x + x²/2 (approx)
We ignore the terms of power 3 and above to get the RHS.
We use
the binomial expansion
to get the above results:
===============
We can also prove the above LHS = RHS in this following manner.
It looks simple too.
Done.
3 votes
Thanks 11
MansiGarg1111
^_^ great explanation
siddhartharao77
Alright.Good Job.
AMAYTRIPATHI
awesome sir
kvnmurty
See the last few lines.. I modified..
1RADHIKAA1
ok sir
AMAYTRIPATHI
seen
siddhartharao77
Okkk
AMAYTRIPATHI
gr8
kvnmurty
please click on thanks red hearts button above
1RADHIKAA1
☑.
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Answers & Comments
Verified answer
To show that if x is very small that is x << 1, like x = 0.01, 0.04 , 0.008 ...square root of [(1+x)/(1-x) ] = 1 - x + x²/2 (approx)
We ignore the terms of power 3 and above to get the RHS.
We use the binomial expansion to get the above results:
===============
We can also prove the above LHS = RHS in this following manner. It looks simple too.
Done.