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Mathematics · 2024 · 1 mark
CBSE 2024 · Region 4 · Set 1 · Q7
For what value of k, the function given below is continuous at x=0? f (x)= {(√(4+x)-2)/x, x ≠ 0; k, x=0}
For what value of k , the function given below is continuous at $\displaystyle x=0$ ? \[\mathrm{f}(x)=\left\{\begin{array}{cc} \frac{\sqrt{4+x}-2}{x}, & x \neq 0 \\ \mathrm{k}, & x=0 \end{array}\right. \]
Official answer
(B)
$\displaystyle \frac{1}{4}$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.