Math Help

[Giantzebra]

Is the answer -1/2?

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I think you have to use L'Hospitals Rule.

f(0) = (cosx-1)/(xsinx)

so the denominator is basically 0*0 or x*x at this point which is x^2

cosx-1 can be written as -1+cosx or -(1-cosx)

Then you apply the rule and do the derivative of top and bottom

the top becomes -sinx and the bottom is 2x

the x's cancel and become 1's therefore being -1/2?

Ya - that seems like it makes sense. Thanks!