Convergence, Mathematics

Assignment Help:

Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0.

(a) If (xn) converges to x, show that (|axn + b|) converges to |ax + b|.
(b) Give an instance , with brief justi cation, where (|xn|) converges but (xn) does not.
(c) If (|xn|) converges to 0, elustratethat (xn) converges to 0.

In (a) you need to use only the de nition of convergence and no other limit theorems.


Related Discussions:- Convergence

Strategic , Hi need a help for marketing strategic assignment Could you ab...

Hi need a help for marketing strategic assignment Could you able to help me???

Determine the angle between dec, Using the example provided below, if the m...

Using the example provided below, if the measure ∠AEB = 5x + 40 and ∠BEC = x + 20, determine m∠DEC. a. 40° b. 25° c. 140° d. 65° c. The addition of the measurem

Example of log rules, Example of Log Rules: Y = ½ gt 2 where g = 32 ...

Example of Log Rules: Y = ½ gt 2 where g = 32 Solution: y = 16 t 2 Find y for t = 10 using logs. log y = log 10     (16 t 2 ) log 10 y = log 10 16 + log 10

Theorem, #question if two angles of a triangle are unequal in measure then ...

#question if two angles of a triangle are unequal in measure then the side opposite to greater angle is longer than the side opposite to the smaller angle

4 accounting majors, 4 accounting majors, 2 economics majors and 3 marketin...

4 accounting majors, 2 economics majors and 3 marketing majors have an interview for5 different positions with a large company. Find the number of dfferent ways that 5 of these c

Limit properties, Limit Properties :  The time has almost come for us t...

Limit Properties :  The time has almost come for us to in fact compute some limits.  Though, before we do that we will require some properties of limits which will make our lif

Permission for xii class, Is there any class in expertsmind for second year...

Is there any class in expertsmind for second year english.?

Cooking measurement question, Ask question what is half of 1 1/3 liquid mea...

Ask question what is half of 1 1/3 liquid measurements?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd