The expansion of (1-2x)^-2 is valid if:
Correct answer: B. |x| < 1/2
- A. |x| < 0
- B. |x| < 1/2
- C. |x| < 2
- D. |x| < 1
Explanation
The binomial expansion (1-2x)^-2 is valid when the absolute value of the ratio of the second term to the first term is less than 1.In this case, the second term is -2x, and the first term is 1.So, the condition for the validity of the expansion is:|(-2x) / 1| < 1|x| < 1/2
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