X


Payment

Question

Show that any bounded function f(t) for t >= 0 is exponentially bounded.

Solution

Since,

x(x) xx bounded xxx t ? x, there xx a xxxxxxxx xxxxxxxx x such xxxx |f(t)| ? x xxx all x ? x. xxx this xx with x = x and x = x. xxxx, f(t) xxx is xxxxxxxxxxxxy xxxxxxx So, xxy bounded xxxxxxxx x(x) xxx t ? 0 xx xxxxxxxxxxxxy xxxxxxx

Payment



Payment