5. Suppose that $a$ is a constant. Find the following limits: (a) $\lim_{h \to 0} \frac{\sqrt{a+h} - \sqrt{a}}{h}$ (assume $a > 0$) [Ans.: $\frac{1}{2\sqrt{a}}$] (b) $\lim_{h \to 0} \frac{\frac{1}{a+h} - \frac{1}{a}}{h}$ (assume $a \neq 0$) [Ans.: $-\frac{1}{a^2}$]
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Step 1: We are given the expression Va+h - Va and we need to find the limit as h approaches 0. Show more…
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