Copied How many zeros does the function \[ f(z)=z^3+2-e^{-z} \] have in the right half plane \(\{\operatorname {Re}(z)>0\}\). Raw LaTeX How many zeros does the function \[ f(z)=z^3+2-e^{-z} \] have in the right half plane \(\{\operatorname{Re}(z)>0\}\). Topic Tags Argument Principle and Rouche's Theorem Zeros of Holomorphic Functions and the Identity Theorem