118010 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118011 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118012 If \(x_n=\cos \frac{\pi}{2^n}+i \sin \frac{\pi}{2^n}\), then \(\prod_{n=0}^{\infty} x_n\) is equal to

118013 If, \(\theta=\frac{\pi}{6}\) then the \(10^{\text {th }}\) term of \(1+(\cos \theta+i \sin\)
\(\theta)+(\cos \theta+i \sin \theta)^2+(\cos \theta+i \sin \theta)^3+\ldots \ldots . .\). is equal to

118010 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118011 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118012 If \(x_n=\cos \frac{\pi}{2^n}+i \sin \frac{\pi}{2^n}\), then \(\prod_{n=0}^{\infty} x_n\) is equal to

118013 If, \(\theta=\frac{\pi}{6}\) then the \(10^{\text {th }}\) term of \(1+(\cos \theta+i \sin\)
\(\theta)+(\cos \theta+i \sin \theta)^2+(\cos \theta+i \sin \theta)^3+\ldots \ldots . .\). is equal to

118010 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118011 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118012 If \(x_n=\cos \frac{\pi}{2^n}+i \sin \frac{\pi}{2^n}\), then \(\prod_{n=0}^{\infty} x_n\) is equal to

118013 If, \(\theta=\frac{\pi}{6}\) then the \(10^{\text {th }}\) term of \(1+(\cos \theta+i \sin\)
\(\theta)+(\cos \theta+i \sin \theta)^2+(\cos \theta+i \sin \theta)^3+\ldots \ldots . .\). is equal to

118010 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118011 If \(x_k=\cos \left(\frac{\pi}{2^k}\right)+i \sin \left(\frac{\pi}{2^k}\right) ; Q_n=x_1 x_3 \ldots . x_{2 n-1}\), then \(\lim _{n \rightarrow \infty} Q_n\) equals

118012 If \(x_n=\cos \frac{\pi}{2^n}+i \sin \frac{\pi}{2^n}\), then \(\prod_{n=0}^{\infty} x_n\) is equal to

118013 If, \(\theta=\frac{\pi}{6}\) then the \(10^{\text {th }}\) term of \(1+(\cos \theta+i \sin\)
\(\theta)+(\cos \theta+i \sin \theta)^2+(\cos \theta+i \sin \theta)^3+\ldots \ldots . .\). is equal to