# Math Help - Of an indeterminate form 0/0

1. ## 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?

2. Originally Posted by courteous
$\displaystyle{ \lim_{z\to z_p} \frac{z^{2m+1}-z_pz^{2m}}{1+z^{2n}} }$
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.)

3. Originally Posted by TheEmptySet
(at least over the real numbers.)
Well, both $z$ and $z_p \in \mathbb{C}$. Does that change anything?