Test the continuity of a function at x = 2 \(\ * 20 c 5/2 - x\;\;\;\;\;\;x 2 .\)

Test the continuity of a function at x... - Solved

Test the continuity of a function at x = 2

\(\ * 20 c 5/2 -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> Test the continuity of a function at x = 2

\(\ * 20 c 5/2 -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> Test the continuity of a function at x = 2

\(\ * 20 c 5/2 -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

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Question 47

Mathematics Limit of Functions Hard

Test the continuity of a function at x = 2 \(\left\{ {\begin{array}{*{20}{c}} {\frac{5}{2} - \rm x\;\;\;\;\;\;x < 2}\\ {1\;\;\;\;\;\;\;\;\;\;\;\;\;\rm x = 2}\\ {\rm x - \;\frac{3}{2}\;\;\;\;\;x > 2} \end{array}} \right.\)

(A) Continuous at x = 2

(B) Discontinuous at x = 2

(C) Semicontinuous at x = 2

(D) None of the above

✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The function is discontinuous at 𝑥 = 2

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