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Verified answer
Lim (2x^3 + 3x + 1)/√(x - 5)x=>~
Lim (2x^3/x^3 + 3x/x^3 + 1/x^3) / (√(x - 5) / x^3)
x=>~
Lim (2 + 3/x^2 + 1/x^3) / (√(x - 5)/√x^6)
x=>~
Lim (2 + 3/x^2 + 1/x^3) / √(x/x^6 - 5/x^6)
x=>~
= (2 + 0 + 0) / √(0 - 0)
= 2/0
= ~