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प्रश्न
In each of the following, find the value of the constant k so that the given function is continuous at the indicated point; \[f\left( x \right) = \begin{cases}k( x^2 + 2), \text{if} & x \leq 0 \\ 3x + 1 , \text{if} & x > 0\end{cases}\]
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उत्तर
We have
(LHL at x = 0) =
\[ \Rightarrow 2k = 1\]
\[ \Rightarrow k = \frac{1}{2}\]
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