x² + 8x – 9 4. lim 1 x3 – 2x2 – 5x + 6 t3 – 7t2 + 16t – 12 5. lim t→2 t4 – 4t3 + 4t² w? – 4w + 1 6. lim w>-00 3w? + 7w – 4

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A: We’ll answer the first three sub-parts since the exact one wasn’t specified. Please submit a new…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: To calculate the given limit: limx,y→0,0x−4y6y+7x

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A: Topic:- application of derivatives and calculus

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A: Given query is to show how we got 2 in the following step.

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A: According to our guidelines, we can answer only 3 subparts of a question. Others can be reposted.

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A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

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A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2)  limt→-1t2-1t2+4t+3(3)…

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A: Please rate

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Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

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A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

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A: Note: Since you have posted multiple questions we will solve only the first question (question 23)…

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Q: Find the limit

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Q: steps: -x*-5x lim arctan 4+3x2-2. V1+4x6 b. lim lim (V9x2 + 2x + 3x) С.

A: Solving by limit theorem we have

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A: We have to evaluate the following limit. lim(x,y)→(2,1)x2-2xyx2-4y2

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.