Lim x - 03 sin x-sin 3 x-x3

Lim_x→ 03sinx sin3x/x^3 =lim_x→ 03sinx (3sinx 4sin^3x)/x^3=lim_x→ 04sin^3x/x^3 =4 ( lim_x→ 0sinx/x )^3=4 × 1=4 ...

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Standard Limits to Remove Indeterminate Form

lim x → 03 si...

Question

${lim}_{x \to 0} \frac{3 s i n x - s i n 3 x}{x^{3}}$

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{lim}_{x \to 0} \frac{3 sin x - sin 3 x}{x^{3}}

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lim x \to 0 \frac{3 sin x - sin 3 x}{x^{2}}

lim x \to 0 ⎛ ⎜ ⎜ ⎜ ⎝ \frac{3 sin x - x^{3} + \frac{x^{3}}{2}}{2 x^{n}} ⎞ ⎟ ⎟ ⎟ ⎠

n \in N

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