`" The coefficient of "x^(n)" in "(1-x/(1!)+(x^2)/(2!)+..+((-1)^n(x^n))/(n !))^2`

Find the coefficient of x^(n) in (1+(x)/(1!)+(x^(2))/(2!)+...+(x^(n))/(n!))^(2)

The coefficient of x^(n) in (1-(x)/(1!)+(x^(2))/(2!)-(x^(3))/(3!)+...+((-1)^(n)x^(n))/(n!))^(2) is equal to

Statement 1: The coefficient of x^(n) is (1+x+(x^(2))/(2!)+(x^(3))/(3!)+...+(x^(n))/(n!))^(3) is (3^(n))/(n!) Statement 2: The coefficient of x^(n)ine^(3x)is(3^(n))/(n!)

The coefficient of x^(n) in ((1+x)^(2))/((1-x)^(3)) is

The coefficient of x^(2) in (1+x)(1+2x)(1+4x)...(1+2^(n)x)

What is the coefficient of x^(n) in (x^(2) + 2x)^(n-1) ?

Find the coefficient of x^(k) in 1+(1+x)+(1+x)^(2)+...+(1+x)^(n)(0<=k<=n)