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![Let face) = 1 + 0x²
[0, 1]
© Find the maximum
value of focx)
Ⓒ Find the pointwise limit fox of fnco).
I+nx² on](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c58565b-9753-4755-a911-fe064d961692%2F3e551e80-00cd-4a01-a2d0-787299d4f810%2Fzoxujf_processed.jpeg&w=3840&q=75)
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- Find the bounded of the determine red In the same way as the proof of theorem 4 in the second pictureevaluate the limit of xsin(1/x) as x approaches zero using the squeeze theorem.We are building an oblique tower from n pieces of identical, homogeneous blocks on a horizontal surface, according to the figure. What is the maximal possible distance d by which the topmost block is shifted horizontally relative to the block at the bottom? Describe the positions of the blocks in this extreme case and determine the function d(n). What is the limit of d(n) as n → ∞? (The blocks have unit length.)
- Find the limit if it exist or show the limit does not exist a) use y=mx b) squeeze theoremLet xn -> 0 and (yn) be bounded. Prove xnyn -> 0.Let f(x) be a bounded, non-negative differentiable function on [0, ∞). Prove that the length off(x) is infinite. How can it proved with converging or diverging methods. For a beginning calculus class.
- Show that in R with the usual topology, the only open sets connected by trajectories are the open intervals.We are building an oblique tower from n pieces of identical, homogeneous blocks on a horizontal surface, according to the figure. Whatis the maximal possible distance d by which the topmost block is shifted horizontally relative to thedα2FLρ(b) ρ = 853 kg/m3.block at the bottom?Describe the positions of the blocks in this extremecase and determine the function d(n). What is the limit of d(n) as n → ∞? (The blocks have unit length.)Suppose f is a continuous function defined on a closedinterval [a, b].(a) What theorem guarantees the existence of an absolutemaximum value and an absolute minimum value for f ?(b) What steps would you take to find those maximum andminimum values?