pointwise limits

Related BrainMass Solutions

• Calculus: Pointwise limits

  526109 Pointwise limits f Let fk (x) = sin (kx)/k k = 1, 2, 3, . . . . a) Determine the pointwise limit f of the sequence {fk} infinity k=1 on R. b) Show that the sequence {fk} infinity k=1 converges to f uniformly to f on R.

• Fourier Series - Uniform and Pointwise Convergence Problem

  19924 Fourier Series - Uniform and Pointwise Convergence Problem Please see the attached file for the f(x) function. a) On the interval [a,b], does the sequence of functions converge pointwise? If yes, what is the limit function?

• show that does not converge uniformly on [0,1], even though converges pointwise.

  Therefore, does not converge uniformly on [0,1], even though converges pointwise.. This solution is comprised of a detailed explanation to show that does not converge uniformly on [0,1], even though converges pointwise.

• Pointwise limit question

  526113 Pointwise limit question Let fk (x) = (e^(-x^(2) /k) / k , k = 1, 2, 3, . . . . a) Determine the pointwise limit f of the sequence {fk} infinity k=1 on R. b) Show that the sequence {fk} infinity k=1 converges to f uniformly to f on R.

• Uniform and Pointwise Convergence

  Uniform and Pointwise Convergence is examined.

• Sequence of Continuous Function, Uniform Convergence and Pointwise Convergence

  58108 Uniform Convergence & Pointwise Convergence Let {fn(x)} n-1 ---> infinity be a sequence of continuous functions [0,1] that converges uniformly.

• Pointwise limit problem

  526112 Pointwise limit problem Let fk (x) = x^(1/k), k = 1, 2, 3, . . .. a) Determine the pointwise limit f of the sequence {fk} infinity k=1 on the interval [0, 1].

• Point Wise Limit Function

  293675 Determine if Sequences of Functions Converges Pointwise: Example Determine whether each of the following sequences of functions converges pointwise. If so determine if the convergence is uniform. See attachment for clarity.

• Functions : Pointwise Operations (Addition, Subtraction, Division and Multiplication)

  Pointwise operations of functions are investigated.