The value of a - 1 - 1-2a - 12 - 1-3a - 13 - - -b - 1 - 1-2b - 12 - 1-3b - 13 - - - is log xbya Find x-y

(a 1) 1/2(a 1)^2 + 1/3(a 1)^3 ... nbsp;∞/(b 1) 1/2(b 1)^2 + 1/3(b 1)^3 ... nbsp; nbsp;∞ =log alog b=log_ba→ x=1, y=1 ...

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The value of $\frac{(a - 1) - \frac{1}{2} (a - 1)^{2} + \frac{1}{3} (a - 1)^{3} - . . . \infty}{(b - 1) - \frac{1}{2} (b - 1)^{2} + \frac{1}{3} (b - 1)^{3} - . . . \infty}$ is ${log}_{x b} y a$ Find $x - y$

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3 A - 2 B = (\begin{matrix} 1 & - 2 3 & 0 \end{matrix})

2 A - 3 B = (\begin{matrix} - 3 & 3 1 & - 1 \end{matrix})

B

f (x) = \frac{x}{x + 1},

g (x) = f [\frac{1}{x + 1}] - \frac{1}{f (x + 1)} .

(\frac{a}{b - 1}) + {(\frac{a}{b - 1})}^{2} + {(\frac{a}{b - 1})}^{3}

a + 2 b = 2

Find the value of : $(3 a - \frac{1}{2}) (3 a - \frac{1}{2})$

\frac{1}{4 - \sqrt{15}} - \frac{1}{\sqrt{15} - \sqrt{14}} + \frac{1}{\sqrt{14} - \sqrt{13}} - \frac{1}{\sqrt{13} - \sqrt{12}} + \frac{1}{\sqrt{12} - \sqrt{11}} - \frac{1}{\sqrt{11} - \sqrt{10}} + \frac{1}{\sqrt{10} - 3}

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