3-3t+ sin 4t Find the limit of f(t)=9t+ cos 4t as t approaches - o.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: this is left hand limit then limit approaches from left side

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A: Explanation and solutions is given below....

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A: Explanation of the answer is as follows

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A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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A: Limits

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

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A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0

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A: HINT:  Used Integration formulas and limit formulas.

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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.