AP EAMCET · Maths · Continuity and Differentiability
If the function , defined below, is continuous on the interval , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given that f(x)=x2+ax+b,0≤x<23x+2,2≤x≤42ax+5b,4<x≤8 Since f(x) is continuous on 0,8 i.e. fx is continuous at x=2 and x=4 L.H.L=f(x)=R.H.L limx→2fx=f(2) limx→2x2+ax+b=3x+2=8 4+2a+b=6+2 or 2a+b=4 (i)....…
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