Primarygun Posted December 5, 2005 Share Posted December 5, 2005 Given that f(x)=x+sinx f(pi)=? I saw many textbooks say f(pi)=pi But isn't it f(pi)=1/2? Link to comment Share on other sites More sharing options...
matt grime Posted December 5, 2005 Share Posted December 5, 2005 what do you think sin(pi) is? Or am I missing some joke/pun here? Link to comment Share on other sites More sharing options...
Dave Posted December 5, 2005 Share Posted December 5, 2005 None that I know of. Surely you must be able to see that [imath]f(\pi) = \pi + \sin\pi[/imath]. Since [imath]\sin\pi = 0[/imath], clearly [imath]f(\pi) = \pi[/imath]. Link to comment Share on other sites More sharing options...
softdragonz Posted December 6, 2005 Share Posted December 6, 2005 Given that f(x)=x+sinx Hey .... If you can't get the answer, change the question f(x) = (x/2) +sin(x) Teee heee .... happy now! The function given by YOU is continuous in and around PI, so, as our friend did it, you just have to substitute PI giving the result to be PI Link to comment Share on other sites More sharing options...
Primarygun Posted December 6, 2005 Author Share Posted December 6, 2005 The function given by YOU is continuous in and around PI, so, as our friend did it, you just have to substitute PI giving the result to be PI But isn't the answer = pi radian? Link to comment Share on other sites More sharing options...
matt grime Posted December 6, 2005 Share Posted December 6, 2005 Only if you think that your dealing with angles and can't mix units, but since this isnt' physics that has no bearing on anything. Link to comment Share on other sites More sharing options...
Primarygun Posted December 8, 2005 Author Share Posted December 8, 2005 OK. It is the same as the notation of sin pi =0 Thanks But what if f(x)=x+cosx f(pi)=pi radian-1 So shall we leave the answer in this form or (pi-1) Link to comment Share on other sites More sharing options...
matt grime Posted December 8, 2005 Share Posted December 8, 2005 it's maths, not physics, the answer is pi-1, not pi^c -1 pi is just a number. Link to comment Share on other sites More sharing options...
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