sin(3t) i+ In(tan(6t)) -j+(t – 2) cos(3t) k , find lim F(t). t+0+ Let F(t) sin(6t) In(sin(3t))

Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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Q: 1 (a) lim 2x+sin x 5x+2 (b) lim 1 (c) lim cos -

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A: Given: limx→01-cosxcos2xx2 for evaluating given limit, we use L hospital's rule according to L…

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Q: lim cos 3+5x – 2r2 85 – 2r2 – 19 lim ² +7 1 – cos 2r lim

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Q: (a) lim sin 3x x-0 sin? 5x (b) lim x-0 x2 (c) lim tan?x x-0 x2 cos? x - 1 (d) lim x2 cos?7x - 1 (e)…

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Q: 1-sin If the inequality <1- sin/|x³y°| < * for all æ and y. Then, find the lim(r,9)→(0,0) |z³y³| 2…

A: We will use Squeeze theorem in given problem.

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A: We know limx→0tan xx = 1 limx→af(x)·g(x) = limx→af(x) · limx→ag(x)

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Q: Limits at infinity Evaluate the following limits or state thatthey do not exist.

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Q: 16. Determine lim 2*. x-1 A. -2 B. 2 1–cosx 17. Determine lim x-0 x A. 0 B. -1 C. 0 D. DNE C. 1 D.…

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A: I use L hospital's Rule

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A: This question is based on Squeeze theorem.

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Q: (sin x)(15x4 – 5x + 8) Let f(x) = 4x Find the value of limr→0 ƒ(x), or state that it does not exist.

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A: by using limit algebra and L' hospital rule

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A: We use L'Hospital rule to solve this limit problem.

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Q: Finding LimitsIn Exercises 9–28, find the limit or explain why it does not exist.

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Q: Evalute the limit of: lim x->0 (x csc 6x)/(cos 14x) The answer must be in simplified form or 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.