If f(x) = sinx then what is the value of lim⁡x→0f(x2)x=? \lim_{x \rightarrow 0} \frac{f{\left ( x^{2} \right )}}{x} = ?

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ব্যাখ্যা: f(x) = sin x হলে f(x²) = sin(x²)। এখন, limit নির্ণয় করলে: lim_{x -> 0} [sin(x²) / x] = lim_{x -> 0} [(sin(x²) / x²) * x] = [lim_{x -> 0} (sin(x²) / x²)] * [lim_{x -> 0} x] = 1 * 0 = 0।

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