Question

Let h(x)= cos(πx). find all extreme values (if any) of h on the given interval. determine at which numbers in the interval (1/3, 2/3] these values occur. if there is no maximum value (minimum value) on the interval, enter dne in the corresponding blanks.

Answer 1

The limit of h(x) as x approaches 1/3 is 1/2. This is the maximum value on the interval.

The value of h(x) at x=2/3 is -1/2. This is the minimum value on the interval.