A function f(x) is defined as follows :
f(x) =
x + π for x ∈ [−π, 0)
π cos x for x ∈ [0, π/2]
(x − π/2)² for x ∈ (π/2, π]

Consider the following statements :

1. The function f(x) is continuous at x = 0.

2. The function f(x) is continuous at x = π/2.

Which of the above statements is/are correct?

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