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VMO 1963 - Division A Question 2

VMO · VMO 1963 - Division A

Question 2

Determine the following limits:
$$\lim_{x\to\frac12}\frac{8x^3-1}{6x^2-5x+1}\qquad\&\qquad\lim_{x\to a}\frac{\sqrt{x-b}-\sqrt{a-b}}{x^2-a^2}.$$