List−IList−II P.Ifα=π7then 1cosα+2cosαcos2α=1.2Q.undersetx→∞Lt[(x−1)(x−2)(x+3)(x+5)(x+10)]15−x=2.3R.∫2−23x2dx1+ex=3.4S.Let f(x)=x3+x2+2x−1.The minimum integral value of x if x satisfies f(f(x))>f(2x+1) is4.8

List−IList−II P.Ifα=π7then 1cosα+2cosαcos2α=1.2Q.undersetx

1.	List−IList−II P.Ifα=π7then 1cosα+2cosαcos2α=1.2Q.undersetx→∞Lt[(x−1)(x−2)(x+3)(x+5)(x+10)]15−x=2.3R.∫2−23x2dx1+ex=3.4S.Let f(x)=x3+x2+2x−1.The minimum integral value of x if x satisfies f(f(x))>f(2x+1) is4.8
Answer» $\begin{matrix} L i s t - I & L i s t - I I P . & I f_{α} = \frac{π}{7} t h e n \frac{1}{c o s α} + \frac{2 c o s α}{c o s 2 α} = & 1. & 2 Q . & u n d e r s e t x \to \infty L t [(x - 1) (x - 2) (x + 3) (x + 5) (x + 10)]^{\frac{1}{5}} - x = & 2. & 3 R . & \int_{- 2}^{2} \frac{3 x^{2} d x}{1 + e^{x}} = & 3. & 4 S . & L e t f (x) = x^{3} + x^{2} + 2 x - 1. T h e m i n i m u m i n t e g r a l v a l u e o f x i f x s a t i s f i e s f (f (x)) > f (2 x + 1) i s & 4. & 8 \end{matrix}$