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limx→0 cos2x−cosx−excosx+ex−x32xn \large {\lim_{x \to 0}} \ \dfrac{\cos^2 x - \cos x - e^x \cos x + e^x - \dfrac{x^3}{2}}{x^n} x→0lim xncos2x−cosx−excosx+ex−2x3
Find the value of nnn for which the above limit is finite and non-zero.
Notations: e≈2.71828e \approx 2.71828e≈2.71828 is the Euler's number.
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