Question

L(T)= (1/2)^t
Explain why this is a decreasing function.
Can anyone explain this?

Answer 1

Meant to be L(t)

Answer 2

because 2^t will keep on increasing.
you tell me
which noumber is greater
1/64 or 1/2

Answer 3

If you're familiar with derivatives, that's the best way to show it.\[\large L'(t)=\ln\left(\frac{1}{2}\right)\cdot\left(\frac{1}{2}\right)^t\]Since \(\ln(1/2)<0\) this derivative is negative. This implies that the function is always decreasing.

Answer 4

Thank you :)

Answer 5

You're welcome.