Continuity and Differentiability
NCERT Class 12
CBSE
Grade 12
Question:
Examine the continuity of the function $f(x) = 2x^2 - 1$ at $x = 3$.
Step-by-Step Solution
$f(3) = 17$. [1.0 Mark]
$\lim_{x \to 3} (2x^2-1) = 17 = f(3) \Rightarrow$ Continuous at $x=3$. Proved! [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating $f(3) = 17$: 1.0 Mark
Evaluating limit and concluding continuity: 1.0 Mark
Correct Answer:
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