Only typed solution Suppose fn(x) = nx(1 − x)" for x = [0, 1]. Show that (fn) 1 converges pointwise but not uniformly to the zero function on[0, 1].

Let For For and so that Then, Thus, Hence, the sequence of functions converges pointwie to the…

Answered: Suppose fn(x) = nx(1-x)" for x = [0,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

See similar textbooks

Similar questions

Let f(x)=/2x/x. Then f"(1)= Select one: 3 - 16 3 &/2 5 - 36 7 21 O None of the above
The function f(x) = x' – 2x – 4 has a root at x = 2, write one re-arrangement of the form x41 = g(x,„) that will converges to that root. Show geometrically, analytically and computationally that the re-arrangement converges to the root.
For f(x) = 2- x4/3+ + x, use the 2nd - Deriv. Test to find any local max or min.
The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-
Proceed as in Exercise 51 to calculate F'(0), where 3x + 5x* + 5x +1 F(x) = (1+x +x*/3 +x/³) : 8x9 – 7x4 + 1
Let f(x) = /7x – 6. Determine f-'(x). f (x) = |
calculate M6 for f(x)=7(In(x^2)) over [1,2]
Suppose that f (0) = 2 and f'(x) 0. Show that f(4) 0.
Let f(2) = (32² – 7)* ( – 7æ² + 8)² f'(x) =
A bank teller series customers standing in the queue one by one. Suppose that the service time X, for customer i has теаn E(X) = 2 (minutes) and V(X) = 1. We assume that service times for different bank customers are independent. Let Y be the total time the bank teller spends services 50 customers. Find P(90 < Y< 110).
The membership of The Fitness Center, which opened a few years ago, is approximated by the function N(t) = 100 * (4t + 64) ^ (3/2) (0 <= t <= 52) , where N(t) gives the number of members at the beginning of week . a). How fast was the membership increasing at the beginning of the 30 week? b). What was the membership when the center first opened? At the beginning of the 30th weck?
Let f(x) = (3x + 7)(3x2 + 2)8. Compute f'(x).

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

Suppose fn(x) = nx(1-x)" for x = [0, 1]. Show that (fn) converges pointwise but not uniformly to the zero function on [0, 1].