Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow1}\frac{\sqrt{5\text{x}-4}-\sqrt{\text{x}}}{\text{x}-1}$
$\lim\limits_{\text{x}\rightarrow1}\frac{\sqrt{5\text{x}-4}-\sqrt{\text{x}}}{\text{x}-1}$
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line 5x + y = 2.
1.$\alpha^2+\beta^2+\alpha \beta=0$
(ii) $\alpha^4+\beta^4+\alpha^{-1} \beta^{-1}=0$
2.If x = a + b, y = αa + βb and z = aβ + bα, where α and β are complex cube roots of unity,
show that $x y z=a^3+b^3$.