Mathematics I20745 marksNumerical: limit evaluationContinuity
Use continuity to evaluate the limit, limx to 4 frac5 + sqrtxsqrt5 + x
Use continuity to evaluate the limit, $\lim_{x \to 4} \frac{5 + \sqrt{x}}{\sqrt{5 + x}}$ [5]
$$\lim{x \to 4} \frac{5 + \sqrt{x}}{\sqrt{5 + x}}$$ Point of evaluation: $a = 4$ --- Root functions, polynomial functions, and their sums, products, and quotients are continuous on their domains. If $f$ is continuous at $x = a$, then: $$\lim{x \to a} f(x) = f(a)$$ Let: $$f(x) = \frac{5 + \sqrt{x}...