The value of - 1 logbalogab 1- - a-b-0-a 1 b is equal to

. 1 amp;log_ba log_ab amp;1. =1 log_ab · nbsp; nbsp;log_ba {∵ nbsp;log_ab=1log_ba nbsp; } =1 1=0 nbsp; ...

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The value of $∣ ∣ ∣ \begin{matrix} 1 & {log}_{b} a {log}_{a} b & 1 \end{matrix} ∣ ∣ ∣, (a, b > 0, a \neq 1 \neq b)$ is equal to

a b

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\frac{b}{a}

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\frac{a}{b}

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0

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lim n \to \infty [\frac{1}{n a} + \frac{1}{n a + 1} + \frac{1}{n a + 2} + \dots + \frac{1}{n b}]

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