If X=1+a+a2+....∞, where |a| < 1 and y=1+b+b2+.....∞ where |b| <1, – InterviewSolution

1.

If X=1+a+a2+....∞, where |a| < 1 and y=1+b+b2+.....∞ where |b| <1, prove that 1+ab+a2b2+.....∞xyx+y−1

Answer»

If $X = 1 + a + a^{2} + . . . . \infty$ , where |a| < 1 and $y = 1 + b + b^{2} + . . . . . \infty$ where |b| <1,

prove that $1 + a b + a^{2} b^{2} + . . . . . \infty \frac{x y}{x + y - 1}$

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