AP EAMCET · Maths · Continuity and Differentiability
The function \(f(x)=\left\{\begin{array}{ll}\frac{2}{5-x}, & x \lt 3 \\ 5-x, & x \geq 3\end{array}\right.\) is
- A left discontinuous at \(x=3\)
- B left continuous at \(x=3\)
- C right discontinuous at \(x=5\)
- D discontinuous at \(x=5\)
Answer & Solution
Correct Answer
(A) left discontinuous at \(x=3\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)= \begin{cases}\frac{2}{5-x}, & x \lt 3 \\ 5-x, & x \geq 3\end{cases}\)…
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