Terms in a power series

[sarahkang27]

Could somebody help me solve this question?

Write the first 5 terms of this power series:

(x²)/(1-x²)

Not sure where to proceed from here.. Any help would be much appreciated. Thank you in advance.

 

[Deleted member 4993]

Could somebody help me solve this question?

Write the first 5 terms of this power series:

(x²)/(1-x²)

Not sure where to proceed from here.. Any help would be much appreciated. Thank you in advance.

Substitute:

u = 1-x² → x²/(1-x²) = (1/u) - 1 .... continue [going to corner]

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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[Bob Brown MSEE]

Substitute x² -> u

remember the sum of a geometric series is u/(u-1) when u is the ratio of adjacent terms.