How can I stop being careless!!? When I do math (and sometimes other things), I often fail to think things through, thus finding a wrong solution. I often do things waay too fast. An example: an hour ago I was completely sure that "obviously" f(x)=x*sin(1/x) should go towards 1 when x--> 0, because f(x) goes towards 1 when x--> infinity... I shamefully forgot that sin(1/x) will never become bigger than 1, regardless of how big or small x is... Other times I often find and use a complicated and time-consuming method to solve a problem, instead of the more obvious simple one. Is there any decent strategy to amend this problem? Anyone else have experienced this issue?