Im trying to show $ \lim_{x \to 0}\frac{\sin(\sin(2x)^2}{x^2} = 4 $ in maple, but I am not getting it. This is what I have
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$$\frac{{\sin (\sin {{(2x)}^2})}}{{{x^2}}} = \frac{{\sin (\sin {{(2x)}^2})}}{{\sin {{(2x)}^2}}}\frac{{\sin {{(2x)}^2}}}{{{x^2}}} = 4\frac{{\sin (\sin {{(2x)}^2})}}{{\sin {{(2x)}^2}}}\frac{{\sin {{(2x)}^2}}}{{{{\left( {2x} \right)}^2}}}$$ – Pedro Oct 12 '13 at 00:15
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Your "Error" comes because $x$ is symbolic in the comparison. Maybe you mean $\delta$. Also, if you want error $10^{-10}$ you should increase Digits to something higher than $10$. – GEdgar Oct 12 '13 at 00:21
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I change $x$ for $\delta$, but it is not printing – ILoveMath Oct 12 '13 at 00:39
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It shouldn't be that hard. Maple has a "limit" command Try something like limit((sin(sin(2*x)))^2/x^2,x=0);
You miscounted your parentheses so I'm guessing what you meant and I don't guarantee I counted them right, but that's how you do it.
Stefan Smith
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@Citizen : I didn't read your epsilon-delta scheme in the Maple code because you can easily find the limit without it. If you want to get it to work and you can't, you might try posting your question on the discussion forum at mapleprimes.com . You should get a good answer within hours. Please note that you can and should upload your Maple code so people know exactly what you tried. – Stefan Smith Oct 13 '13 at 22:01
