The limit question discussed involves evaluating the expression \(\lim_{x\rightarrow 0} \frac{\sqrt{x+4} - 2}{x}\), which simplifies to \(\frac{1}{4}\). The correct approach involves multiplying by the conjugate \(\frac{\sqrt{x+4} + 2}{\sqrt{x+4} + 2}\) to eliminate the square root in the numerator. After simplification, substituting \(x = 0\) yields the limit value of \(\frac{1}{4}\). The discussion highlights the importance of proper bracketing and algebraic manipulation in limit problems.
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Bracketing is a bit off. I guess you mean (√(x+4) - 2]/x )(√(x+4) + 2)/(√(x+4) +2)lionely said:(√(x+4) - 2]/x )(√(x+4) + 2]/√(x+4) +2]
I don't. Please post your working.and then put in 0 I get 0..