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in Integrals calculus by (15 points)
7. The value of \( \int_{0}^{2} f(x) d x \), where \[ f(x)=\left\{\begin{array}{lc} 0, & \text { when } \quad x=\frac{n}{n+1}, n=1,2,3, \ldots . .10 \\ 1, & \text { otherwise } \end{array}\right. \] is equal to (1) 10 (2) 2 (3) 30 (4) 0 [Limit of a Sum]

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