Question

If f(x) is an odd periodic function with period 2, then
f(4) =
Numeric Answer:​

Answer 1

Answer:

Since f(x) is an odd periodic function with period 2

∴f(x)=−f(x) and f(x+2)=f(x)

∴f(2)=f(0+2)=f(0)

and f(−2)=f(−2+2)=f(0)

Now f(0)=f(−2)=−f(2)=−f(0)

∴f(4)=f(2+2)=f(2)=f(0)=0

Step-by-step explanation: