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

<p>Test the continuity of a function at x = 2</p> <p><span class="math-tex">\(\left\{ {\begin{array}{*{20}{c}} {\frac{5}{2} - \rm x\;\;\;\;\;\;x &lt; 2}\\ {1\;\;\;\;\;\;\;\;\;\;\;\;\;\rm x = 2}\\ {\rm x - \;\frac{3}{2}\;\;\;\;\;x &gt; 2} \end{array}} \right.\)</span></p>

(A) Continuous at x = 2
(B) Discontinuous at x = 2
(C) Semicontinuous at x = 2
(D) None of the above
View Dynamic Solution & Explanation ▼
Correct Solution: Option B

Step-by-step Solution:

The function is discontinuous at 𝑥 = 2

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