Since the summation of infinte series is equal to a finite number and that is 4.2 it means that the series converges to 4.2.
And since the series converges it also implies that limit n tends to infinity an = 0.
Thank you
Please do like.
Exercises 4.2 ove that the sequence (1 + z/n)"; n = 1, 2, 3,..., converges uni- ly in Iz <R < , for every R. What is the limit? 1, afdos se converge? diverge?
Topology (a) For each subset A of NV0), define eA є loo such that the k-th component of eA is 1 if k є A and 0 otherwise. Define B-(Bde (eA; 1/2) : A N\ {0)). Recall I. (i) If AメB are subsets of N \ {0), find the value of doc (eA, eB). (ii) Show that B is a collection of disjoint open balls in 100. iii) By quoting relevant results, justify whether or not the collection B is...
The recursive definition of a Fibonacci Number is F(n) = F(n - 1) + F(n - 2), where F(0) = 1 and F(1) = 1. What is the value of Fib(3)?
Give a recursive definition of the sequence {an}, n = 1, 2, 3,... if an = n2 커-1, an-an-1+2n, for all n>1 어=1, an = an-1+2n-1, for all n21 an = an-1+2n-1. for all n21 gel, an=an-1+2n-1, for all n>1 -1, an- an-1+2n-1, for all n2o
Give the definition of what it means for a function, f(x)f(x), to be increasing on the interval ]a,b[]a,b[. Give the definition of what it means for a function, f(x)f(x), to be decreasing on the interval ]a,b[]a,b[. Note that your answer for (3) should be different from (2).
1. Changing environments (Perform) Ma EA EIRTS Bloomberg via Getty Images Management at Work EA Sports, which manufactures a large number of sports video games, frequently changes its products to stay abreast of new trends in both sports and gaming. New technology is constantly appearing, and new competitors emerge on a regular basis. Located in the heart of California's Silicon Valley, EA Sports must compete aggressively to hire engineers and game designers. At EA Sports, the environment is because of...
Consider the following function. r(x)-In(1 + 2x), a=4, n= 3, 3.8 4.2 x (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to estimate the accuracy of the approximation (x) T(x) when x lies in the given interval. (Round your answer to six decimal places.) (c) Check your result in part (b) by graphing Rn(x)l 2. x 10-6 3.9 4.1 4.2 1.5 x10-6 -5. x 10-7 1. x 10-6 -1. x10-6...
Consider the following recursive definition: if n=1 F(n)= | Fin - 1) +2 if n > 1 (O What set describes this definition? OOOO The set of nonnegative odd integers The set of even integers The set of nonnegative integers The set of odd integers none of the above The set of nonnegative even integers
please type and clear answer 1- Provide a definition for Catalyst. 2- A catalyst ____________the rate of reaction by ______________the activation energy, Ea. 3- Provide a definition for Reaction Mechanism.
clues are when the author gives you a definition of what the word means. O A. Definition O B. Context O C. Definition and example O D. Example SUBMIT