Let ƒ : R `->` R be defined by ƒ(x) = |x – 2n| if 2n – 1 £ x £ 2n + 1 and n Î Z.
Statement 1 : `int_(0)^(2n+1) f(x)dx=n+1` for all positive integer n.
Statement 2 : ƒ is periodic with period 2.

Let ƒ : R `->` R be defined by ƒ(x) = |x – 2n| if 2n – 1 £ x £ 2n + 1 and n Î Z.

Statement 1 : `int_(0)^(2n+1) f(x)dx=n+1` for all positive integer n.

Statement 2 : ƒ is periodic with period 2.

Statement 1 is true, statement 2 is true, statement 2 is the correct explanation for statement 1.

Statement 1 is true, statement 2 is true, statement 2 is not the correct explanation for statement 1.

Statement 1 is true, statement 2 is false.

Statement 1 is false, statement 2 is true.

Let ƒ : R `->` R be defined by ƒ(x) = |x – 2n| if 2n – 1 £ x £ 2n + 1 and n Î Z.Statement 1 : `int_(0)^(2n+1) f(x)dx=n+1` for all positive integer n.Statement 2 : ƒ is periodic with period 2.