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प्रश्न
In the following, determine the value of constant involved in the definition so that the given function is continuou: \[f\left( x \right) = \begin{cases}k( x^2 + 3x), & \text{ if } x < 0 \\ \cos 2x , & \text{ if } x \geq 0\end{cases}\]
उत्तर
Given:
\[ \Rightarrow \lim_{h \to 0} \left( k\left( \left( - h \right)^2 - 3h \right) \right) = \lim_{h \to 0} \left( \cos 2h \right)\]
\[ \Rightarrow 0 = 1 \left[ \text{It is not possible} \right]\]
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