((♠JS♠)/(★■.★)) If lim_(x→a) ((x^2 +2∣ax∣−3a^2 )/( (√x)−(√a) )) = P , with a>0 then the value of lim_(x→a) ((2x^2 −∣ax∣−a^2 )/(x−a)) is ___ (a) ((3P)/(4(√a))) (b) ((3P)/(8(√a))) (c) ((8P)/(3(√a))) (d) ((4P)/(3(√a) )) (e) ((3P)/(8a))


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Question Number 110086 by john santu last updated on 27/Aug/20

$\frac{♠ J S ♠}{★ ◼ . ★}$ $I f \lim_{x \to a} \frac{x^{2} + 2 ∣ a x ∣ - 3 a^{2}}{\sqrt{x} - \sqrt{a}} = P, w i t h a > 0$ $t h e n t h e v a l u e o f \lim_{x \to a} \frac{2 x^{2} - ∣ a x ∣ - a^{2}}{x - a} i s$ $___$ $(a) \frac{3 P}{4 \sqrt{a}} (b) \frac{3 P}{8 \sqrt{a}} (c) \frac{8 P}{3 \sqrt{a}}$ $(d) \frac{4 P}{3 \sqrt{a}} (e) \frac{3 P}{8 a}$
	Answered by bemath last updated on 27/Aug/20

	Commented byjohn santu last updated on 27/Aug/20

	$g r e a t . .$
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