Find the limit: x->0  2 sin2 3x / 3x2

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A:

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A:

Q: Find the limit: Lim x-->0  2 sin2 3x / 3x2

A: you know that:

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A: I am attaching image so that you understand each and every step.

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A:

Q: Find the one-sided limit (if it exists).

A:

Q: Find the limit: Lim x->0  2 sin2 3x / 3x2

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A: Please refer the attached image for complete solution.

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A: Given, lim (x→0sin5x)-sin3xsinx Plug the value of x in the given function, ⇒sin5·0-sin(3·0)sin(0)

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A: lim sin x -tan xx3=lim sin x -sin xcos xx3=lim sin x cos x -sin xx3 cos x =lim (sin x x cos x)(cos x…

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A: Topic:- limits

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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.