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Limits Continuity and Differentiability

Section: Mathematics

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Question : 9 of 61

Marks: +1, -0

Let f:ℝ⟶ℝ be defined by f(x)={

,‌‌ if ‌x>1

,‌‌ if ‌x=1

sin‌[x−1]−[x−1]

,‌‌ if ‌x<1

where [t] denotes the greatest integer less than or equal to t. If f is continuous at x=1, then a+b=

[AP EAPCET 22 May 2025 S2]

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