Pointwise limit and uniform convergence of fn(x)=n²e^(-nx)

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
1 reply · 2K views
sarahp6888
Messages
2
Reaction score
0
For the sequence of functions fn(x)=n^(2)e^(-nx) on [0,infinity), what is the pointwise limit of this sequence?is the converbence uniform?
 
Physics news on Phys.org

Discussion

What are the relevant definitions... (at some point I'm going to get tired of saying this again and stop posting for another 9 months.)
 

Similar threads

Graduate Pointwise limit and uniform convergence of fn(x)=ne^(-xn²)
  • sarahp6888
  • · Replies 1 ·
  • Calculus
Replies
1
Undergrad Finding the error in integrating x^n e^(nx)
  • Mayhem
  • · Replies 5 ·
  • Calculus
Replies
5
Graduate Pointwise limits and uniform convergence for fn(x)=x+1/n
  • BlackTiger
  • · Replies 1 ·
  • Calculus
Replies
1
Pointwise and uniform convergence of n^α xe^(-nx)
  • mathmari
  • · Replies 11 ·
  • Topology and Analysis
Replies
11
Graduate Uniform convergence and derivatives question
  • Boorglar
  • · Replies 4 ·
  • Calculus
Replies
4
Graduate If a subsequence converges uniformly, must it converge to the pointwise limit?
  • AxiomOfChoice
  • · Replies 2 ·
  • Calculus
Replies
2
Pointwise and uniform convergence
  • mathmari
  • · Replies 5 ·
  • Linear and Abstract Algebra
Replies
5
Pointwise limit of x^(1/(2n-1)) in Abbott example 6.2.2
  • Math Amateur
  • · Replies 4 ·
  • Topology and Analysis
Replies
4
Uniform vs pointwise convergence of derivatives for s_n(x) = (1/n)e^{-(nx)²}
  • STEMucator
  • · Replies 8 ·
  • Calculus and Beyond Homework Help
Replies
8
Graduate Uniform Convergence of fn(x) for x in (1, infinity)
  • hamsterman
  • · Replies 9 ·
  • Calculus
Replies
9