{"version":9,"randomSeed":"c5d373bb2f0a98fef3c282eb3c1eaae4","graph":{"viewport":{"xmin":-2.84986878494196,"ymin":-4.30489939667496,"xmax":18.40013121419733,"ymax":10.419726930468839}},"expressions":{"list":[{"type":"expression","id":"64","color":"#c74440","latex":"\\ln x"},{"type":"expression","id":"1","color":"#388c46","latex":"S=\\sum_{k=1}^{n}\\frac{1}{k}\\left(\\frac{x-1}{x}\\right)^{k}","lineStyle":"DASHED"},{"type":"text","id":"69","text":"where the series converges, |S - ln(x)| <= E"},{"type":"expression","id":"65","color":"#6042a6","latex":"E=\\frac{\\frac{1}{n+1}\\left(\\frac{x-1}{x}\\right)^{n+1}}{1-\\frac{x-1}{x}}","hidden":true},{"type":"expression","id":"67","color":"#388c46","latex":"\\left[S-E,S+E\\right]"},{"type":"expression","id":"63","color":"#2d70b3","latex":"n=10","slider":{"hardMin":true,"hardMax":true,"min":"1","max":"50","step":"1"}}]}}