MCQ
$\mathop {n \to \infty }\limits^{\lim } \frac{1}{n}\sin \left( {\frac{1}{n}} \right){\left( {\cos \left( {\frac{1}{n}} \right)} \right)^2} $ $+ \frac{1}{n}\sin \left( {\frac{2}{n}} \right){\left( {\cos \left( {\frac{2}{n}} \right)} \right)^2} + \frac{1}{n}\sin \left( {\frac{3}{n}} \right){\left( {\cos \left( {\frac{3}{n}} \right)} \right)^2} +$ $ ..... + \frac{1}{n}(\sin 1){(\cos 1)^2}$ મેળવો.
- A$\frac{1}{3}$
- B$sin^31 - cos^31$
- C$(sin^31 - 1)$
- D$\frac{1}{3}(1 - {\cos ^3}1)$