{"version":9,"randomSeed":"8a98a771381f841081f6f222ee767a19","graph":{"viewport":{"xmin":-6.859897375247984,"ymin":-25.72605777736137,"xmax":56.422049439020626,"ymax":18.12349610992473}},"expressions":{"list":[{"type":"expression","id":"1","color":"#c74440","latex":"f\\left(x\\right)=-\\sum_{n=1}^{x}\\left(-1\\right)^{n}\\frac{1}{n}"},{"type":"expression","id":"3","color":"#388c46","latex":"g\\left(x\\right)=f\\left(x\\right)+\\frac{\\left(-1\\right)^{\\operatorname{round}\\left(x\\right)}}{2\\operatorname{round}\\left(x\\right)+1}"},{"type":"expression","id":"2","color":"#2d70b3","latex":"\\ln\\left(\\left|f\\left(x\\right)-\\ln2\\right|\\right)"},{"type":"expression","id":"4","color":"#6042a6","latex":"\\ln\\left(\\left|g\\left(x\\right)-\\ln2\\right|\\right)"},{"type":"text","id":"7","text":"add one term to the end and it converges three time faster! magic."},{"type":"expression","id":"5","color":"#000000","latex":"\\frac{\\ln\\left(\\left|g\\left(x\\right)-\\ln2\\right|\\right)}{\\ln\\left(\\left|f\\left(x\\right)-\\ln2\\right|\\right)}"}]}}