If (lim)x0x2f(x)−aand(lim)x0g(x)sin2xf(1−cosx)=b(whereb=0)˙ then (lim)x0x4g(1−cos2x) is b4a b. 4ba c. ba d. none of these

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Question

If $(lim)_{x 0} \frac{f ( x )}{x ^{2}} - a a n d (lim)_{x 0} \frac{f ( 1 - cos x )}{g ( x ) sin ^{2} x} = b (w h e r e b \neq = 0) ˙$ then $(lim)_{x 0} \frac{g ( 1 - cos 2 x )}{x ^{4}}$ is $\frac{4 a}{b}$ b. $\frac{a}{4 b}$ c. $\frac{a}{b}$ d. none of these

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(lim)_{x 0} \frac{f ( x )}{x ^{2}} - a a n d (lim)_{x 0} \frac{f ( 1 - cos x )}{g ( x ) sin ^{2} x} = b (w h e r e b \neq = 0) ˙

then

(lim)_{x 0} \frac{g ( 1 - cos 2 x )}{x ^{4}}

\frac{4 a}{b}

\frac{a}{4 b}

\frac{a}{b}

d. none of these

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Question Text

(lim)_{x 0} \frac{f ( x )}{x ^{2}} - a a n d (lim)_{x 0} \frac{f ( 1 - cos x )}{g ( x ) sin ^{2} x} = b (w h e r e b \neq = 0) ˙

then

(lim)_{x 0} \frac{g ( 1 - cos 2 x )}{x ^{4}}

\frac{4 a}{b}

\frac{a}{4 b}

\frac{a}{b}

d. none of these