[RCQ/CV-05002] Recalling Reasoning for Singular Points

Differentiation and analytic property.

1. $\exp(\lambda z)$ is analytic everywhere because_____________________
2. $\sin\lambda z$, $\cosh\lambda z\cos\lambda z$, $\sinh\lambda z$ are all analytic everywhere. This statement follows from\\ _______________________________
3. $\tan z$ is analytic everywhere except at ________________________
4. ${\rm cosec}\,z$ is analytic everywhere except at ________________
5. $\tanh z$ is analytic everywhere except______________________