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blackrose636

  • 3 years ago

find lim [sin^2(-)/(-)(1+cos(-))] (-)->0

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  1. mukushla
    • 3 years ago
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    \[\lim_{x \rightarrow 0} \frac{\sin^2 x}{x(1+\cos x)}\]?

  2. Ishaan94
    • 3 years ago
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    0?

  3. dpaInc
    • 3 years ago
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    agree.... 0...

  4. blackrose636
    • 3 years ago
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    but how did u guys get 0

  5. completeidiot
    • 3 years ago
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    the limit as x->0 for sin(x)/x is equal to 1 its a general rule of thumbs

  6. completeidiot
    • 3 years ago
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    \[\lim_{x \rightarrow 0}\frac{\sin x}{x}=1\] \[\lim_{x \rightarrow 0}\frac{\sin^2(x)}{(x)(1+\cos(x))}\] \[\lim_{x \rightarrow 0}\frac{\sin(x)}{(x)}*\lim_{x \rightarrow 0}\frac{\sin(x)}{(1+\cos(x))}\] \[1*\lim_{x \rightarrow 0}\frac{\sin(x)}{(1+\cos(x))}\] sin(0)=0 cos(0)=1

  7. blackrose636
    • 3 years ago
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    oh thanks. :)

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