Question 347870
Use L'Hopital's rule.
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f(x)={{{(sin(3t))^2}}}
f1(x)=f'(x)={{{6sin(3x)cos(3x)}}}
f2(x)=f''(x)={{{18cos^2(3x)-18sin^2(3x)}}}
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g(x)={{{x^2}}}
g1(x)=g'(x)={{{2x}}}
g2(x)=g''(x)={{{2}}}
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{{{f2(x)/g2(x)=9cos^2(3x)-9sin^2(3x)}}}
{{{lim (x->0, f2(x)/g2(x))=9(1)-9(0)=highlight(9)}}}