Let 𝔻 = { 𝑧 ∈ ℂ ∶ |𝑧| < 1} and 𝑓: 𝔻 → ℂ be defined by 

\(f(z)=\rm z-25z^3+\frac{z^5}{5!}-\frac{z^7}{7!}+\frac{z^9}{9!}-\frac{z^{11}}{11!}\)

Consider the following statements:

𝑃: 𝑓 has three zeros (counting multiplicity) in 𝔻.

𝑄: 𝑓 has one zero in 𝕌 = { 𝑧 ∈ ℂ ∶ \(\frac{1}{2}\) < |𝑧| < 1}.

Then