JS-If-lim-x-a-x-2-2-ax-3a-2-x-a-P-with-a-gt-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-8

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

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(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 by john santu last updated on 27/Aug/20

g r e a t . .