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Calculus1 9 Online
OpenStudy (anonymous):

Limit/Trig Question Help Please

OpenStudy (anonymous):

\[\lim_{x \rightarrow 0}\frac{ 3\sin ^{2}x }{-1\left( 1-\cos x \right) }=3\lim_{x \rightarrow 0}\frac{ 1-\cos ^{2}x }{ 1-\cos x} \] \[=3\lim_{x \rightarrow 0}\frac{ \left( 1-\cos x \right)\left( 1+\cos x \right) }{1-\cos x }\] \[=3\lim_{x \rightarrow 0}\left( 1+\cos x \right)=3\left( 1+\cos 0 \right)=3\left( 1+1 \right)\] =6

OpenStudy (anonymous):

correction i missed minus.

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