Determine whether or not the sequence { } , where is uniformly convergent on:

a.)

b.)

c.)

d.) And decide whether or not for R if converges uniformly.

Printable View

- Nov 22nd 2009, 02:01 PMthaopandaUniformly Convergent
Determine whether or not the sequence { } , where is uniformly convergent on:

a.)

b.)

c.)

d.) And decide whether or not for R if converges uniformly. - Nov 23rd 2009, 12:50 AMOpalg
First, find the pointwise limit, which in this case is the zero function. To test whether or not , you need to investigate whether The function is positive, so you don't need to worry about taking the absolute value, and you can find the maximum value of the function by calculus (find where the derivative is 0).