Given that lim (4x – 4) = 12, illustrate Definition 2 by finding values of 8 that correspond to ɛ = 0.1, ɛ = 0.05, and ɛ = 0.01. %3D E = 0.1 E = 0.05 E = 0.01

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A: Solution:

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Q: 7. lim a sin(1/a) =

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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.