Use a taylor series to conjecture the value of:

The limit as x approaches 0 of (sin (x^3)-(x^3))/9

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- May 2nd 2006, 12:08 PMbobby77please help !
Use a taylor series to conjecture the value of:

The limit as x approaches 0 of (sin (x^3)-(x^3))/9 - May 2nd 2006, 12:13 PMTD!
You know that for small x (so certainly for x approaching 0), we can say that sin(x) =~ x. This follows from its Taylor series, when we neglect higher order terms (since sin(x) = x - x³/3! + ...).

So, what happens when you replace sin(x) by x? - May 3rd 2006, 04:11 AMbobby77please check my work...urgent
please see the attachment

- May 3rd 2006, 04:42 AMCaptainBlackQuote:

Originally Posted by**bobby77**

RonL - May 3rd 2006, 07:55 AMTD!Quote:

Originally Posted by**bobby77**