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f(x) and g(x) are differentiable on 0

f(0)=g(0)=0

 

calculate

[math]

\lim _{x->0}\frac{cosf(x)-cosg(x)}{x^2}

[/math]

??

 

it looks like cauchys mean value theorem

F(x)=cos(f(x))

G(x)=cos(g(x))

what to do next??

  • 1 month later...

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