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Binomial expansion for any index

35 questions

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The binomial expansion of (1+2x)−1(1 + 2x)^{-1} is valid for

Circle your answer.
  • A ∣x∣<2|x| < 2
  • B ∣x∣<1|x| < 1
  • C ∣x∣<12|x| < \dfrac{1}{2}
  • D ∣x∣≤12|x| \le \dfrac{1}{2}
●●●●●Level 11 markStart
The binomial expansion of 14−3x\dfrac{1}{\sqrt{4 - 3x}} in ascending powers of xx is valid for

Circle your answer.
  • A ∣x∣<34|x| < \dfrac{3}{4}
  • B ∣x∣<43|x| < \dfrac{4}{3}
  • C ∣x∣<4|x| < 4
  • D ∣x∣<14|x| < \dfrac{1}{4}
●●●●●Level 11 markStart