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If y=x+x^(2)/2+x^(3)/3+x^(4)/4+... then ...

If `y=x+x^(2)/2+x^(3)/3+x^(4)/4+...` then show that `x=y-y^(2)/(2!)+y^(3)/(3!)-y^(4)/(4!)+...`

Text Solution

Verified by Experts

The correct Answer is:
`x=y-(y^(2))/(2!)+(y^(3))/(3!)-(y^(4))/(4!)….`
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