Expand `(1+x)^(2/3)` up to four terms for `|x|lt1`

Expand (1+x)^(2//3) up to four terms for |x| lt 1 .

Expand (1-x)^(1/3) upto 4 terms for |x|<1

Expand (x^2+1/x)^3

Evaluate : 1^(2) + 2 ^(2) x + 3 ^(2) x ^(2) + 4 ^(2) x ^(3) …….. upto infinite terms for |x| lt 1.

Expand the binomial ((2)/(x) +x)^(10) up to four terms

Expand f(x) = (1)/(x) about x =2 upto four terms

If x=1-y+y^(2)-y^(3)+..... up to infinite terms, where |y|lt1 , then which one of the following is correct?