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Math Help - Limits

  1. #1
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    Limits

    Can someone help me figure out the limits of these?

    Limit of sin(abs(x))/x as x approaches 0

    limit of (x-1)/((sqrt(x))-1) as x approaches 1

    limit of ((2/x)-(2/abs(x))) as x approaches 0
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  2. #2
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    \lim_{x\to 1}\frac{x-1}{\sqrt{x}-1}
    Divide first and it boils down to \sqrt{x}+1
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  3. #3
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    Quote Originally Posted by straman View Post
    Can someone help me figure out the limits of these?

    Limit of sin(abs(x))/x as x approaches 0

    limit of ((2/x)-(2/abs(x))) as x approaches 0
    Both cases are meant to analyze the left and right hand limits.
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