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Limit of (cos(sin x) - cos x)/x^4 as x tends to 0

The same question, asked 2 times: 2021 Paper 7*, 26 Jun 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 7

    82
    If the function f(x)=cos⁡(sin⁡x)−cos⁡xx4f(x) =\frac{\cos(\sin x) - \cos x}{x^{4}} is continuous at each point in its domain and f(0)=1kf(0) =\frac{1}{k}, then kk is

  2. Question 2

    26 Jun 2022

    154
    lim⁡x→0cos⁡(sin⁡x)−cos⁡xx4\lim_{x \rightarrow 0} \frac{\cos(\sin x) - \cos x}{x^{4}} is equal to:

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