The coefficient of `t^50` in `(1+t)^41 (1-t+t^2)^40` is equal to

Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

The coefficient of t^(4) in ((1-t^(6))/(1-t))^(3) (a) 18 (b) 12( c) 9(d)15

The coefficient of t^4 in the expansion of ((1 - t^6)/(1-t))^(3) is 3k. The value of k is _________.

If t+1/t =5, then (2t)/(3t^(2)-5t+3) is equal to ……..

lim_(t to0)(1-(1+t)^(t))/(In (1+t)-t) is equal to

Find the coefficient of t^(8) in the expansion of (1+2t^(2)-t^(3))^(9)

Statement 1: The coefficient of t^(49) in the expression (t+1)(t+2)(t+3),(t+50) is equal to 1075. Statement- -2 The value of sum_(k=1)^(2n)k=n(2n+1)

If sin t+cos t=(1)/(5) then tan((t)/(2)) is equal to: