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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)={
a−‌
sin‌[x−1]
x−1
,‌‌ if ‌x>1
1,‌‌ if ‌x=1
b−[‌
sin‌[x−1]−[x−1]
([x−1])3]
]		,‌‌ 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]
Validate
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