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Given a sequence f:Z+→R of real numbers, we say that the sequence converges to a real number L if for all ε>0, there exists a positive integer N such that for any positive integer n, if n≥N, then |f(n)-L|<ε. Prove that if a sequence f converges to L and a sequence g converges to M, then the sequence f+g converges to L+M. (You may use the triangle inequality: |a+b|≤|a|+|b| for any real numbers a and b.)
answered
Sep 21, 2020
Mathematics
college
5
votes
121k
views
the inequality m=<$20 represents the amount of money that sheila is allowed to spend on a new hat. give two possible money amounts that Sheila could spend on the hat.
answered
Jul 27, 2020
Mathematics
middle-school
4
votes
117k
views
Find the value of x in y=mx+b
answered
Mar 15, 2020
Mathematics
middle-school
3
votes
58.2k
views
The quadratic equation 2x^2+bx+18=0 has a double root . Find all values of b
answered
Feb 10, 2020
Mathematics
high-school
4
votes
66.8k
views
PLZ HELP IM CONFUSED
answered
Feb 9, 2020
English
middle-school
7
votes
57.9k
views
Please help solve these proofs asap!!!
answered
Feb 7, 2020
Mathematics
high-school
5
votes
216k
views
243^-y=(1/243)^3y*9^-2y a.) y=-1 b.) y=0 c.) y=1 d.) no solution
answered
Oct 16, 2019
Mathematics
high-school
5
votes
145k
views
What area of engineering did the greeks neglect? a. buildings c. monuments b. roads d. arches?
answered
Jun 8, 2019
Social Studies
high-school
1
vote
133k
views
In terms of the plot structure, where would you place this event in Silas Marner? Godfrey and Nancy agree not to make it public that Eppie is Godfrey's daughter. exposition complication climax resolution
answered
Jun 7, 2019
English
college
6
votes
75.3k
views
While analyzing the facebook "likes" of 58,000 people, kosinki, stillwell, and graepel found that liking "the colbert report" puts a person in the 87th percentile on?
answered
May 14, 2019
Social Studies
high-school
5
votes
145k
views
Before using any chemical In the lab why should one first read the material safety data sheet ( MSDS )
answered
Feb 5, 2019
Biology
middle-school
4
votes
9.5k
views
What is ionization energy? a) the minimum energy required to remove one electron from an atom. b) the maximum energy required to remove one electron from an atom. c) the maximum energy required to move
answered
Apr 23, 2018
Chemistry
high-school
3
votes
108k
views
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