Explore BrainMass
Share

Explore BrainMass

  1. Mathematics
  2. Calculus and Analysis
  3. Real Analysis
  4. 25456

Real analysis

Let xn(smaller n)>=0 for all n belong to N
a) if (xn)-->0, show that(sqrt[xn])-->0
b)if (xn)-->x,show that(sqrt[xn])-->x

© BrainMass Inc. brainmass.com July 21, 2018, 7:30 pm ad1c9bdddf

Solution Preview

(a) proof:
Since x_n->0 as n->inf, for any e>0, we can find N>0, such that for all n>N, we have |x_n|<e^2. So |sqrt(x_n)|<e. This implies sqrt(x_n)->0 as n->inf.

(b) ...

Solution Summary

These are proofs regarding limits.

$2.19

Related BrainMass Content

Statistical analyses

... bed hospital wards: Postconstruction evaluation was not performed in our study review
and analysis. ... Bruck L. Second life: test-driving real world innovations. ...

Explain where this project (attached) fits on the continuum of short-term, small-scale and long-term, large-scale changes. Select an appropriate change model (or change models) for the project. Develop a plan to address the human critical success factors for the project. Recommend measures to monitor the human change elements of the project. e. Prepare contingency strategies for managing resistance to the changes you are proposed in the project.

... Company like the change to digital photography and addresses the real problems of ...
for major changes, as for example to bring about customer analysis, to change ...

Critical Analysis of Advertisements

... in delivering the right meaning of the ad to the people and making them understand
the real point in the ... After presenting the critical analysis for issue ...

Assisted Living Luxury Home SWOT Analysis

... how mission/value statements, goals, and objectives are related to the SWOT analysis
and how ... Not only should real estate be available, it should be affordable. ...