If `(1+x)^n=p_0+p_1x+p_2x^2+.....+p _n x^n,` then `(p_0-p_2+p_4-p_6+....)/(p_1-p_3+p_5-p_7+......)=`

If e^(ax) +e^(-bx) = p_0 +p_1x +p_2x^2 + ....oo then (p_0 , p_1,p_2) =

(1 + x)^(n) = p_(0) + p_(1) x + p_(2) x^(2) + … + p_(n) x^(n) , then p_(0) + p_(3) + p_(6) + ….. =

if (1+x)^(n)=p_(0)+p_(1)x+p_(2)x^(2)+--+p_(n)x^(n) the value of p_(1)-p_(3)+p_(5)+...

If x^(-n)=1/p , then p= ______.

Let a_1gt a_2gt a_3 ...a_gt1 p_1gt p_2 gt ...p_n gt0 ; such that p_1 + p_2+ p_3 + p_n= 1 . Also F(x)=(p_1a_1^x+p_2a_2^x+...+p_nan^x)^(1/x) Then lim x→∞F(x) equals