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Question 26

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Let f(x)=∑k=02025(sin⁡∣x−k∣+cos⁡∣x−k+12∣)\displaystyle f(x)=\sum_{k=0}^{2025}\left(\sin|x-k|+\cos\left|x-k+\frac12\right|\right). For how many real values of xx is f(x)f(x) not differentiable?

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