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if f(x) ={{:(cos^-1 {cos x},xlt(pi)/(2))...

`if f(x) ={{:(cos^-1 {cos x},xlt(pi)/(2)),( pi[x]-1,x ge (pi)/(2) ):}.` where [.] repesents greatest funcrtion and {.} represents fractional part function , then discuss the continuity of f(x) at `x=(pi)/(2).`

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