AP EAMCET · Maths · Limits
If \(f(x)=\left\{\begin{array}{cc}\frac{x-|x|}{x}, & \text { when } x < 0 \\ b\left(\frac{5 x^2+a,}{x^2-3 x+2}\right), & \text { when } 0 \leq x \leq 1 \\ -14, & \text { when } x \geq 3\end{array}\right.\) is a continuous function on \(R\), then \((a, b)=\)
- A \(\left(2,-\frac{7}{2}\right)\)
- B \((2,-14)\)
- C \(\left(-\frac{7}{2},-14\right)\)
- D \((2,7)\)
Answer & Solution
Correct Answer
(A) \(\left(2,-\frac{7}{2}\right)\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\left\{\begin{array}{cc}\frac{x-|x|}{x} ; & \text { when } x < 0 \\ b\left(\frac{x^2+a ;}{x^2-3 x+2}\right) ; & \text { when } 0 \leq x \leq 1 \\ -14 ; & \text { when } x \geq 3\end{array}\right.\) Since, given \(f(x)\) is continuous at \(x=0\) and \(x=3\) \(f(x)\)…
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