2. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 + t cos 80 %3D where t is the time in hours since the start of the rainfall and R(t) is measured in centimeters per hour. How much did the depth of water in the rain gauge increase from t = 0 to t = 3 hours? (A) 1.233 cm (B) 1.466 cm (C) 1.966 cm (D) 5.401 cm

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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.