A calculus problem by أحمد الحلاق

Calculus Level 4

\[ \large \lim_{x\to 1} \dfrac{\sqrt{x+3} \sqrt[3]{x+7} \sqrt[4]{3x-2} - 4}{x-1} \]

The limit above has a closed form. Find the value of this closed form.

Give your answer to 3 decimal places.

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