AP EAMCET · Maths · Continuity and Differentiability
If , defined below, is continuous at then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
fx=x2+ax+b, 0≤x<23x+2, 2≤x≤42ax+5b, 4<x≤8 If function is continuous at x=2 and x=4, then L.H.L=fx=R.H.L limx→2-fx=f2=limx→2+fx 4+2a+b=8 ⇒2a+b=4.........i limx→4-fx=f4=limx→4+fx 14=8a+5b.........ii Solve…
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