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UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let f(x)={
‌
x−3
|x−3|
+a;‌		x<3
a−b;‌x=3‌ and ‌
‌
x−3
|x−3|
+b;‌		x>3
. f(x) be continuous at x=3.
[NDA II 2023]
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