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.

Q: Find the limit lim 4. -1x1 4+x

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Q: 2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.)…

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Q: 3. Graph the following function. y=2(x+6)(x-1)²(x-7) A) Describe the end behavior using limit…

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Q: how can i apprach this problem

A: The objective of this question is to find the limit of the sequence (n+1) as n approaches 0 using…

Q: Use the e-N definition of limits to show that 2n -15 lim = 1. %3D n0o 2n - 13

A: The objective to show that limn→∞2n-152n-13=1.

Q: Evaluate the limit 2 i 16 lim 2 n2

A: Use formula then apply limits

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.

Q: State whether each of the following limit forms is indeterminate. Where possible, state the limit.…

A: An indeterminate form is an expression involving two functions whose limit cannot be determined…

Q: Suppose the sequence of numbers o, ₁,...,,... satisfies the difference equation 2k+1=0k+ where a and…

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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.