Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 6 sin 7x lim 5x X-0 6 sin 7x lim (Type an exact answer.) %3D 5x

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A: Use the existence of limit definition

Q: sol

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A:

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A:

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A:

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A:

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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.