Primarygun Posted December 5, 2005 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?
matt grime Posted December 5, 2005 Posted December 5, 2005 what do you think sin(pi) is? Or am I missing some joke/pun here?
Dave Posted December 5, 2005 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].
softdragonz Posted December 6, 2005 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
Primarygun Posted December 6, 2005 Author 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?
matt grime Posted December 6, 2005 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.
Primarygun Posted December 8, 2005 Author 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)
matt grime Posted December 8, 2005 Posted December 8, 2005 it's maths, not physics, the answer is pi-1, not pi^c -1 pi is just a number.
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