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Math Help - Of an indeterminate form 0/0

  1. #1
    Member courteous's Avatar
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    Question Of an indeterminate form 0/0

    \displaystyle{  \lim_{z\to z_p} \frac{z^{2m+1}-z_pz^{2m}}{1+z^{2n}}  }
    Is this limit really of a indeterminate form 0/0: numerator goes to zero, what about denominator?
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  2. #2
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    Quote Originally Posted by courteous View Post
    \displaystyle{  \lim_{z\to z_p} \frac{z^{2m+1}-z_pz^{2m}}{1+z^{2n}}  }
    Is this limit really of a indeterminate form 0/0: numerator goes to zero, what about denominator?
    No it is not an indeterminate form. As you said the numerator goes to zero, but the denominator is always greater than or equal to 1. (at least over the real numbers.)
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    Member courteous's Avatar
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    Quote Originally Posted by TheEmptySet View Post
    (at least over the real numbers.)
    Well, both  z and  z_p \in \mathbb{C}. Does that change anything?
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