AI-Powered Learning for Every Student
Class 11 · Mathematics · 4 Questions
Verify that (1+x)−1=1−x+x2−x3+…(1+x)^{-1} = 1 - x + x^2 - x^3 + \ldots(1+x)−1=1−x+x2−x3+… (when ∣x∣<1|x| < 1∣x∣<1).
Verify that (1−x)−1=1+x+x2+x3+…(1-x)^{-1} = 1 + x + x^2 + x^3 + \ldots(1−x)−1=1+x+x2+x3+… (when ∣x∣<1|x| < 1∣x∣<1).
Verify that (1+x)−2=1−2x+3x2−4x3+…(1+x)^{-2} = 1 - 2x + 3x^2 - 4x^3 + \ldots(1+x)−2=1−2x+3x2−4x3+… (when ∣x∣<1|x| < 1∣x∣<1).
Verify that (1−x)−2=1+2x+3x2+4x3+…(1-x)^{-2} = 1 + 2x + 3x^2 + 4x^3 + \ldots(1−x)−2=1+2x+3x2+4x3+… (when ∣x∣<1|x| < 1∣x∣<1).