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what is the expansion of ( 1 + x)1/x.

Naina Razdan , 14 Years ago
Grade 12
anser 1 Answers
SAGAR SINGH - IIT DELHI

Last Activity: 14 Years ago

Dear eshita,

A variant of the binomial formula is obtained by substituting 1 for x and x for y, so that it involves only a single variable. In this form, the formula reads

(1+x)^n = {n \choose 0}x^0 + {n \choose 1}x^1 +  {n \choose 2}x^2 +  \cdots + {n \choose {n-1}}x^{n-1} + {n \choose  n}x^n,

or equivalently

(1+x)^n = \sum_{k=0}^n {n \choose k}x^k.

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