x→∞limsec−1(axlogxa)cot−1(x−alogax),(a>1)is equal to (a)2 (b)1 (c) (log)a2 (d) 0

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Question

$x \to \infty lim \frac{cot ^{- 1} ( x ^{- a} lo g _{a} x )}{sec ^{- 1} ( a ^{x} lo g _{x} a )}, (a > 1)$ is equal to (a) $2$ (b) $1$ (c) $(lo g)_{a} 2$ (d) 0

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Owen Discussed

x \to \infty lim \frac{cot ^{- 1} ( x ^{- a} lo g _{a} x )}{sec ^{- 1} ( a ^{x} lo g _{x} a )}, (a > 1)

is equal to (a)

2

(b)

1

(c)

(lo g)_{a} 2

(d) 0

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Question Text

x \to \infty lim \frac{cot ^{- 1} ( x ^{- a} lo g _{a} x )}{sec ^{- 1} ( a ^{x} lo g _{x} a )}, (a > 1)

is equal to (a)

2

(b)

1

(c)

(lo g)_{a} 2

(d) 0