For the first image (the one where the limit of the sequence equals 1/3), prove using definition of a limit of a sequence. For the second image, I also need help with parts B and C: b) Is it bounded? If so, give both and upper and a lower bound. Otherwise, explain why it is not bounded. c) Does the sequence have a limit? If so, give the limit, and explain.

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A:

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A:

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A:

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A:

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Q: 5x esr lim 2x2 -7x+3

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Q: ((7) 2c-4 lim.

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A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 3. (4 points) Find the limit (if it exists): 2xh – 5h + 3h? lim h

A: limit value=?

Q: What is the limit?

A: our objective is to find the limit.

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Q: 3. Explain why the following sequence does not have a limit: a, = (-1)".

A: Solve the following

Q: 23. an n √n² +1

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A:

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Q: 6. Every nondecreasing sequence of real numbers has a limit.

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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.