Let (X, E) be a measurable space. Let py and pz be two measures defined on X. Then 1. p - H2 is a measure. 2. i x Ha is a probability measure. 3. 241 + P2 is a measure. 4. is a probability measure. 1 2 3

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.