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\begin{aligned} \text { Ex. } 3 : \text { If } f(x) \text { is continuous at } x=0, \text { where } \\ f(x)=\frac{1-\cos k x}{x^{2}}, & \text { for } x \neq 0 \\=\frac{1}{2}, & \text { for } x=0 \end{aligned}

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