Approximating $f(z)=\frac{1-e^{iz}}{z^2}$
36480
$\frac{1 - e^{iz}}{z^2} = \frac{-iz}{z^2} + E(z)$ where $E(z)$ is bounded as $z \rightarrow 0?$
156399
Chebyshev Approximation
36444
Bound of a complex-valued function
137963
Limit of $\frac{xy-z^2}{x^2+y^2+z^2}$ and $\frac{xy}{x^2+y^2}$ as $(x,y) \to (0,0)$
117691
Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
1331
Approximation of the Sine function near $0$
10013
A problem that I'm not sure whether to use Weierstrass Approximation Theorem
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
71162
Showing that $\sum_{n=1}^{\infty} \frac{z^n}{1+z^{2n}}$ converges
105943
Laurent series for $1/(e^z-1)$
138559
How can I show that $\frac{1}{1+|z|^2}$ isn't analytic at $z=1$?
51625
Analytic functions close to $\bar{z}$
142768
Approximation of $\sqrt{2}$
147764
show that $f(z)+f(z^2)+\cdots + f(z^n)+\cdots$ converges locally uniformly to an analytic function in the unit disk.
126736
Show that $\lim_{\epsilon\to0^{+}}\frac{1}{2\pi i}\int_{\gamma_\epsilon}\frac{f(z)}{z-a} \, dz=f(a)$
6722
to show $f$ is a polynomial in $z$