Can You Limit It?

Calculus Level 3

Find the value of the constant nn satisfying

lim⁡x→0(cos⁡x−1)(cos⁡x−ex)xn≠0.\lim_{x\to 0}\dfrac{(\cos x-1)(\cos x - e^x)}{x^n}\neq 0 .

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Sravanth C. by Sravanth C.
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