question_answer

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

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) \[\mu \]