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jkristia

  • 2 years ago

find limit of sin(x) / .... I'm stuck trying to find the limit of (sin(x) - 1/2) / (x - pi/6) for x -> pi/6 algebraically. Any hints ? (please do not give the solution, just a hint of how to solve it)

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  1. jkristia
    • 2 years ago
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    A bit easier to read \[\lim_{x \rightarrow \frac{\pi}{6}} \frac{ \sin(x) - \frac{1}{2}}{x - \frac{\pi}{6}}\]

  2. RadEn
    • 2 years ago
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    because it would be 0/0, u can use differentiate

  3. jkristia
    • 2 years ago
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    I have to find the limit without using L'Hospital. I know the the answer is \[\frac{\sqrt{3}}{2}\], but I can't figure out how to find it algebraically

  4. RadEn
    • 2 years ago
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    well, i will figure out for u |dw:1355202540051:dw|

  5. RadEn
    • 2 years ago
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    |dw:1355203063008:dw|

  6. jkristia
    • 2 years ago
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    Thank you, I will take a closer look later today. I didnt think of replacing 1/2 with sin(pi/6) - that might be what I'm missing.

  7. jishan
    • 2 years ago
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    |dw:1355235874352:dw|

  8. jishan
    • 2 years ago
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    |dw:1355236046406:dw|

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