Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. 0 as k mathematics this last observation is true b

0 as k MATHEMATICS This last observation is true because converging te Note that in...

80.2K

Verified Solution

Question

Calculus

image

0 as k MATHEMATICS This last observation is true because converging te Note that in the inequalities M K 1 10 j 1 MK Kj XI K MK n Kj X 1 x 1 the right hand sides are independent Kj lim x X lim of t and therefore 1 x 1 Ouniformly on to 1 1 as k p being arbitrary This completes the proof of our claim that the sequence x kEZ of functions is uniformly Cauchy on to to 1 X Using this last mentioned property of the sequence xk Z we define a function x 4 1 1x8 x 8 by putting x t lim x 1 t to to 1 The function x thus defined is the uniform limit of the sequence x kEN Therefore we have lim x 1 x 11 x1 x f s X 5 5 1 de ff s x s ds ff s lim x s ds ff s x s ds Kn lim f s x s ds is convergent Finally the identity All the above equations being valid because of the uniform convergence of of x fox on to 1 1 s x s ds t 1 1 1 1 derived above has the following two consequences 1 Differentiation of the identity implies

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Maserati spa purchased a new machine for its assembly process on August 1, 2019. The cost...

Accounting
Q

a) What is the difference between regression and interpolation? b) Use least squares regression to fit a...

Advance Math
Q

Using the windows 32 framework , write an assembly language program ; write a procedure to read...

Programming
Q

Explore your Own Case in Point: identify the appropriate Global Entry Strategy for your Chosen Company...

General Management
Q

When a candle is lit, the wick burns, the wax melts, the candle changes shape,...

Biology
Q

i g x 41 16 The function C i 2 54i converts a ii g...

Basic Math
Q

hich of the following are NOT functions I x y 1 II y x 1...

Algebra
Q

ent/takeAssignmentMain.do?invoker &takeAssignmentSessionLocator assignment-take&inprogress-faise eBook Show Me...

Accounting
Q

A company has an investment in 8% bonds with a par value of $144,000 that...

Accounting
Q

Prepare a statement of retained earnings for the year ended December 31. (Round your final...

Accounting
Q

Finishing Touches has two classes of stock authorized: 9%, $10 par preferred, and $1 par...

Accounting
Q

Brainerd Corporation adds all materials at the beginning of production. On August 1, 2019, 1,400...

Accounting