- If x be numerically so small that its cube and higher powers may be
x3, x4, x5, …. are all approximately zero.
- If x be numerically so small that its square and higher powers may be neglected, then (1+x)n= 1+nx (approximately), because x2, x3, x4,…. are all approximately zero.
Example:
If x be numerically so small that its cube and higher powers may be neglected, then find the binomial expansions for:
i) (1 + 2x)-4
Suggested answer:
i) (1 + 2x)-4




