Q. If $ =\underset{h\to 0}{\mathop{\lim }}\,\frac{\sqrt{h+1}-1}{{{h}^{3/2}}}\times \frac{\sqrt{h+1}+1}{\sqrt{h+1}+1} $ , y and z are in HP, then the value of expression $ =\underset{h\to 0}{\mathop{\lim }}\,\frac{h}{{{h}^{3/2}}(\sqrt{h+1}+1)} $ will be

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A

$ =\underset{h\to 0}{\mathop{\lim }}\,\frac{h}{\sqrt{h}(\sqrt{h+1}+1)} $

B

$ =\frac{1}{0(\sqrt{0+1}+1)}=\frac{1}{0}=\infty $

C

$ \underset{x\to 0}{\mathop{\lim }}\,\frac{\cos (\sin x)-1}{{{x}^{2}}} $

D

$ \mu $

Solution:

Given, $ -\text{273}.\text{15}{}^\circ \text{F} $ and z are in HP. Then, $ -\text{453}.\text{15}{}^\circ \text{F} $ ???. (i) Now, $ -\text{459}.\text{67}{}^\circ \text{F} $ $ -\text{491}.\text{67}{}^\circ \text{F} $ $ \text{52}00\text{{ }\!\!\mathrm{\AA}\!\!\text{ }} $ $ \text{Vc}=\text{1}.\text{5V} $ $ \text{1}00\text{ }\mu \text{A} $ $ \text{15}0\text{ }\mu \text{A} $

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