Here we look at the partial sums for the power series representation of f(x)=1/(1-x). 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 NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiUtSSNtaUdGJTY5USFGKC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYoLyUlc2l6ZUdRIzEyRigvJSVib2xkR1EmZmFsc2VGKC8lJ2l0YWxpY0dRJXRydWVGKC8lKnVuZGVybGluZUdGOC8lKnN1YnNjcmlwdEdGOC8lLHN1cGVyc2NyaXB0R0Y4LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GKC8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRigvJSdvcGFxdWVHRjgvJStleGVjdXRhYmxlR0Y7LyUpcmVhZG9ubHlHRjgvJSljb21wb3NlZEdGOC8lKmNvbnZlcnRlZEdGOC8lK2ltc2VsZWN0ZWRHRjgvJSxwbGFjZWhvbGRlckdGOC8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RigvJSptYXRoY29sb3JHRkQvJS9tYXRoYmFja2dyb3VuZEdGRy8lK2ZvbnRmYW1pbHlHRjIvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YoLyUpbWF0aHNpemVHRjUtRiQ2JUYsLUYkNiUtRi02OVElcGxvdEYoRjBGM0Y2RjlGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRmluRlxvLUkjbW9HRiU2M1EwJkFwcGx5RnVuY3Rpb247RigvJSVmb3JtR1EmaW5maXhGKC8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUnbHNwYWNlR1EkMGVtRigvJSdyc3BhY2VHRmJwLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShtYXhzaXplR1EpaW5maW5pdHlGKC8lKG1pbnNpemVHUSIxRigvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lMGZvbnRfc3R5bGVfbmFtZUdGWC8lJXNpemVHRjUvJStmb3JlZ3JvdW5kR0ZELyUrYmFja2dyb3VuZEdGRy1JKG1mZW5jZWRHRiU2Iy1GJDY1RiwtRl5yNiUtRiQ2J0YsLUkmbWZyYWNHRiU2Ki1JI21uR0YlNjlGXnFGMEYzRjYvRjpGOEY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ24vRmpuUSdub3JtYWxGKEZcby1GJDYlRmlyLUZmbzYzUSgmbWludXM7RihGaW9GXHAvRl9wRjtGYHAvRmRwUTN2ZXJ5dGhpY2ttYXRoc3BhY2VGKEZlcEZncEZpcEZccUZfcUZhcUZjcUZlcUZncUZpcUZbci1GLTY5USJ4RihGMEYzRjZGOUY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ25GaW5GXG8vJS5saW5ldGhpY2tuZXNzR1EiMUYoLyUrZGVub21hbGlnbkdRJ2NlbnRlckYoLyUpbnVtYWxpZ25HRl90LyUpYmV2ZWxsZWRHRjhGaXFGW3ItRmZvNjNRIixGKEZpb0ZccEZkc0ZgcEZlc0ZlcEZncEZpcEZccUZfcUZhcUZjcUZlcUZncUZpcUZbci1GJDYlLUYtNjlRInNGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcb0Zlby1GXnI2Iy1GJDYlLUZqcjY5USIyRihGMEYzRjZGXHNGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRl1zRlxvRmR0RmdzRiwvJSVvcGVuR1EifGZyRigvJSZjbG9zZUdRInxockYoRmR0RmdzLUZmbzYzUSI9RihGaW9GXHBGXnAvRmFwUS90aGlja21hdGhzcGFjZUYoL0ZkcEZddkZlcEZncEZpcEZccUZfcUZhcUZjcUZlcUZncUZpcUZbci1GanI2OVEuJnVtaW51czA7MS4yNUYoRjBGM0Y2RlxzRjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZdc0Zcby1GZm82M1EjLi5GKC9Gam9RKHBvc3RmaXhGKEZccEZecC9GYXBRMG1lZGl1bW1hdGhzcGFjZUYoRmNwRmVwRmdwRmlwRlxxRl9xRmFxRmNxRmVxRmdxRmlxRltyRmlyRmR0LUYtNjlRInlGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcb0ZpdS1GanI2OVEuJnVtaW51czA7MC4yNUYoRjBGM0Y2RlxzRjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZdc0Zcb0ZidkZgdUZkdC1GLTY5USZjb2xvckYoRjBGM0Y2RjlGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRmluRlxvRml1LUZecjYlLUYkNiUtRi02OVElYmx1ZUYoRjBGM0Y2RlxzRjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZdc0Zcb0ZkdC1GLTY5USRyZWRGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcby9GZHVRIltGKC9GZ3VRIl1GKEYsLUZmbzYzUSI7RihGaW9GXHBGZHNGYHBGXnZGZXBGZ3BGaXBGXHFGX3FGYXFGY3FGZXFGZ3FGaXFGW3JGLDcjQyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHRio2JjwkKiQsJiIiIkZdeUkieEdGKCEiIkZfeS1JInNHRig2JCIiI0ZeeS9GXnk7JCEkRCIhIiNGXXkvSSJ5R0YoOyQhI0RGaHlGY3kvSSZjb2xvckdGKDckSSVibHVlR0YoSSRyZWRHRihGXXk= 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