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| 1. |
If x=y+y^2/(2!)+y^3/(3!)+... then show that y=x-x^2/2+x^3/3-x^4/4+…. |
| Answer» SOLUTION :`x=y+y^2/(2!)+y^3/(3!)=...implies1+x=1+y+y^2/(2!)+y^3/(3!)+...=e^yimpliesy=log_e(1+x)=x-x^2/2+x^3/3-x^4/4+...` | |