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i guess it should be
\[x_{i+1}=x_i-\frac{1-\frac{1}{ax_i}}{-\frac{1}{ax_i^2}}\]

Ya I have proved that part. I need help with the error part

nope i am wrong again
it should be
\[x_{i+1}=x_i-\frac{1-\frac{1}{ax_i}}{\frac{1}{ax_i^2}}\]

i think it has something to do with taylor series, but i should really shut up

ohh that's k. Thankk u sooo much for helping me:)

on the other hand i am pretty good at googling. try looking at "error analysis" in the attached pdf, seems like exactly what you are looking for

on second page for "division"

Thankkkk u sooooo much. It is really verryy useful:)

yw, and good luck

thank u:)