Let's do some calculus! (28)
Calculus
Level
5
\[ \large {\lim_{x \to 0}} \ \dfrac{\cos^2 x - \cos x - e^x \cos x + e^x - \dfrac{x^3}{2}}{x^n} \]
Find the value of \(n\) for which the above limit is finite and non-zero.
Notations: \(e \approx 2.71828\) is the Euler's number.
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by
Tapas Mazumdar