3. Let {x,} and {yn} For each one of the following claims, decide whether they are always true, always false, or sometimes true and sometimes false (depending on the specific sequences). Prove it. } be two sequences of positive numbers. Assume that xn << Yn· Sn=1 Xn + Yn (a) xn << Xn + Yn << Yn (b)

Q: 2. Determine all values of x for which 0<= x2-11/x+1<=7 (include graph and intervals tables) *in…

A:

Q: Suppose that ƒ′(x)&lt;= 1 for 1&lt;= x&lt;= 4. Show that ƒ(4) - ƒ(1)&lt;=3.

A: Show that:

Q: 19. The interval for function |(3 )/2 z-1|<2 is -2/3 ,21 (- 2/3 ,2) (-2/3 ,2] - 2/3 ,2)

A:

Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

A:

Q: Find g(-T" 1+h -)-2 for h<<r r

A:

Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

A:

Q: XA and x & f(x)}. Show Cim ƒ.) 38. Let a, b, c, and d be any real numbers such that a < b and c < d.…

A:

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: 7.   The function is decreasing on the following intervals:

A: Ans:

Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: 10. Evaluate | x In(x+12) « dr.

A:

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: What is Fn * Fn+1 with F representing Fibonacci numbers

A: The objective is to find Fn×Fn+1 where F represent Fibonacci numbers

Q: ppose that the function fis defined for all real numbers as follows. { 1 + x ² f(x) = 1+x²_ if x<1…

A:

Q: Q1) Find the intersection of all the following nested intervals / (-1-4.1+ 4). 121 [1-1). /3/ (0.).

A: There are three nested intervals are given, we have find its intersection

Q: 1) Find P(Z -.78)

A:

Q: eft tail. my qu

A: Given that  Number of students (n1)= 55 mean score x1¯ = 83 standard deviation of score (s1) = 7.2…

Q: Find the critical points and the intervals on which the function f(x) = (x³ – 4x) e* + 15 is…

A: given f(x)=x3-3247xex +15 we have to find the critical points and the intervals on which the given…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.