lim x → ∞ x { Tan − 1 x + 2 x + 1 − Tan − 1 x + 2 x } = ____

Tan − 1 x − Tan − 1 y = Tan − 1 1 − x y x − y Lt x → ∞ x ( 2 x 2 + 5 x + 4 x + 2 Tan − 1 2 x 2 + 5 x + 4 x + 2 ) ( 2 x 2 + 5 x + 4 x + 2 )

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsTrigonometric and Inverse Trigonometric limitsEasy2 minQB

MathematicsEasysingle choice

$lim_{x \to \infty} x {Tan^{- 1} \frac{x + 1}{x + 2} - Tan^{- 1} \frac{x}{x + 2}} =$ $____$

Answer:

Solution:

$Tan^{- 1} x - Tan^{- 1} y = Tan^{- 1} \frac{x - y}{1 - x y}$

$Lt_{x \to \infty} x (\frac{Tan ^{- 1} \frac{x + 2}{2 x ^{2} + 5 x + 4}}{\frac{x + 2}{2 x ^{2} + 5 x + 4}}) (\frac{x + 2}{2 x ^{2} + 5 x + 4})$

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Trigonometric and Inverse Trigonometric limits

⏱ 2mℹ️ Source: QB

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