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Two functions f & g have first & second ...

Two functions f & g have first & second derivatives at x=0 & satisfy the relations, `f(0) = 2/(g(0)), f'(0)=2g'(0) = 4g(0), g"(0)= 5 f"(0)=6f(0) = 3` then-

A

`f(x)/(g(x))"then"h'(0) =(32)/(9)`

B

`if k(x) = f(x).g(x) sin "in then" k'(0) = 2`

C

`Lim_(xrarr0)g(x)/(f'(x))=(1)/(2)`

D

None of these

Text Solution

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The correct Answer is:
A, B, C
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