find the limit
limitxsin1/x,x=0
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
Is this a question? Try `sage: limit(x*sin(1/x),x=0)` and you should get (correctly) zero... What does this have to do with hyperelliptic curves? Please feel free to edit your question if it accidentally got cut off, sometimes that happens.