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  • For continuous functions f and g on R. let <img alt="\mathrm{f(a)= 4. f(a)=6, g(a)=2, g^{\prime}(a)=1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%28a%29%3D%204.%20f%28a%29%

For continuous functions f and g on R. let \mathrm{f(a)= 4. f(a)=6, g(a)=2, g^{\prime}(a)=1}. Then the value of 

\mathrm{\lim _{x \rightarrow a t} \frac{\sqrt{f(x) g(a)}-\sqrt{g(x) f(a)}}{(x-a)(\sqrt{f(x) g(a)}+\sqrt{g(x) f(a)})}}

 

Option: 1

0


Option: 2

3


Option: 3

\frac{1}{4}


Option: 4

\frac{2}{3}


Answers (1)

best_answer

\text { Rationalize the numerator and apply } \frac{0}{0} \text { form }

Posted by

Suraj Bhandari

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