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lim as x tends to a of (root(a + 2x) - root(3x))/(root(3a + x) - 2 root(x))

The same question, asked 2 times: 10 May 2024 S1, 10 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2024 S1

    150
    Value of lim⁡x→aa+2x−3x3a+x−2x\lim_{x\to a}\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt{x}} is

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  2. Question 2

    10 May 2024 S2

    124
    lim⁡x→aa+2x−3x3a+x−2x=\displaystyle\lim_{x\to a}\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt{x}}=

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