a.) Is monotone? why?
b.) it is bounded above by what number? Bounded below by what number? (c) Find its limit and prove it
use this as hint
please help, I need help on these
a.) Is monotone? why? b.) it is bounded above by what number? Bounded below by what...
Show that a bounded and monotone sequence converges. Here a sequence is called monotone, if it is either monotone increasing, that is for all or monotone decreasing, in which case for all . in Sn=1 An+1 > an neN an+1 < an We were unable to transcribe this image
Suppose that is nonempty and bounded above. Then has a supremum. Note: Show that there is a least element such that is an upper bound for . if is not a least upper bound for , show there is at least such that is an upper bound for . Proceed in this way to find the supremum. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image21 We were unable to...
1. a) Prove: if and , then b) State the converse above, and find a counterexample to the converse above. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Prove the following: Suppose that is nonempty and bounded below. Then exists. We were unable to transcribe this imageinfA
Suppose that is a bounded function with following Lower and Upper Integrals: and a) Prove that for every , there exists a partition of such that the difference between the upper and lower sums satisfies . b) Furthermore, does there have to be a subdivision such that . Either prove it or find a counterexample and show to the contrary. We were unable to transcribe this imageWe were unable to transcribe this image2014 We were unable to transcribe this...
Suppose is a bounded function for which there exists a partition such that . Prove: is a constant function f : a, b] →R We were unable to transcribe this imageL(P, f,a) = U(P, f,a) We were unable to transcribe this image
Let S be the region bounded by the graphs of , , and the vertical line . a. Find the area of S b. Suppose S is revolved around the line . Using the cylindrical shell method, find an integral expression equal to the volume of the solid that is created. c. Now suppose S is the base of a solid. For that solid, each cross section perpendicular to the x-axis is a rectangle with height 5 times the length...
(a) What is the measurement uncertainty of this Vernier Caliper? ___ cm (b) What is the main scale's measurement? ___ cm (c) What is the Vernier scale's measurement? You will need to zoom in on the picture. ___ cm (d) What is this object's total length? ___ cm Please explain, I know it's easy. Below is the picture of a sample measurement with a Vernier Caliper 0 5 10 15 20 25 LLLLLLL 24682 3 O4 = We were unable...
Show that we have the analogous bound for the case of an arbitrary, but countable, number of events [Hint: use the limit properties of the probability function.] We were unable to transcribe this imageWe were unable to transcribe this image
Using FTLM. a) Let . Use linear algebra to prove that there is a polynomial such that p + p' - 3p'' = q. Hint: consider the map defined by Tp: p + p' - 3p'', and use FTLM. b) Let be distinct elements of . Let be any elements of . Use linear algebra to prove that there is a such that Hint: consider the map defined by . You can use any facts from algebra about the solution...