If fx - -2 sin x - sin 2 x-x3 dx- x - 0 then limx - 0 f- x is equal to -

The correct option is B 1 f(x) = ∫2 sin x sin 2 x/x^3, x ≠ #160;0 lim_x → 0 f^' (0) = lim_x → 02 sin x/x ( 1 cos x/x^2 ) = 1 Ans: B ...

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Expansions to Remove Indeterminate Form

If fx = ∫2 ...

Question

If $f (x) = \int \frac{2 s i n x - s i n 2 x}{x^{3}} d x$ , $x \neq 0$ then ${lim}_{x \to 0}$ $f^{^{'}} (x)$ is equal to :

0

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1

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2

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\frac{1}{2}

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Similar questions

f (x) = \int \frac{2 sin x - sin 2 x}{x^{3}} d x

x \neq 0

{lim}_{x \to 0} f^{'} (x)

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\frac{2 sin x - sin 2 x}{x^{3}}, x \neq 0

{lim}_{x \to 0} f^{^{'}} (x)

f^{^{'}} (x) = \frac{d f (x)}{d x}

f (x) = \frac{2 sin x - sin 2 x}{x^{3}}

x \neq 0

lim x \to 0 f (x)

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lim x \to 0 f^{'} (x)

f (x) = \sqrt{1 - s i n 2 x},

f^{'} (x)

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