If f3-6 and f-3-2- then limx-3xf3-3fxx-3 is given by-

The correct option is C 0 f( x ) =6,f( x ) =2 lim _ x→ 3 xf( 3 ) 3f( x ) #160; x 3 #160; 0 0 form =lim _ x→ 3 1.f( 3 ) 3f'( x ...

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Composite Function

If f3=6 and...

Question

If $f (3) = 6$ and $f^{'} (3) = 2$ , then ${lim}_{x \to 3} \frac{x f (3) - 3 f (x)}{x - 3}$ is given by?

6

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4

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0

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none of these

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f (x) = \frac{1}{\sqrt{18 - x^{2}}}

lim x \to 3 \frac{f (x) - f (3)}{x - 3}

F : R \to R

F (x) = \int_{4}^{f (x)} \frac{16 t^{3}}{x - 3} d t, f (3) = 4 & f^{'} (3) = \frac{1}{16}

lim x \to 3 F (x)

F : R \to R

F (x) = \int_{4}^{f (x)} \frac{16 t^{3}}{x - 3} d t, f (3) = 4 & f^{'} (3) = \frac{1}{16}

lim x \to 3 F (x)

f^{'} (3) + f^{'} (2) = 0

lim x \to 0 {(\frac{1 + f (3 + x) - f (3)}{1 + f (2 - x) - f (2)})}^{\frac{1}{x}}

f : R \to R

f^{'} (3) + f^{'} (2) = 0

lim x \to 0 {(\frac{1 + f (3 + x) - f (3)}{1 + f (2 - x) - f (2)})}^{1 / x}

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