TS EAMCET · Maths · Continuity and Differentiability
If is continuous at , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given that, fx is continuous at x=2 fx=x-2|x-2|+a when x<2 and fx=x-1x-2+b when x>2 lt limx→2-x-2x-2+a=limx→2+x-2x-2+b=a+b ⇒-1+a=1+b=a+b ⇒-1+a=a+b ∴b=-1 and, 1+b=a+b a=1 ∴a+b=1-1=0
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