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प्रश्न
The value of b for which the function
पर्याय
−1
0
\[\frac{13}{3}\]
1
उत्तर
−1
Given:
\[\Rightarrow \lim_{x \to 1^+} f\left( x \right) = f\left( 1 \right)\]
\[ \Rightarrow \lim_{h \to 0} f\left( 1 + h \right) = f\left( 1 \right)\]
\[ \Rightarrow \lim_{h \to 0} \left( 4 \left( 1 + h \right)^2 + 3b\left( 1 + h \right) \right) = 5\left( 1 \right) - 4\]
\[ \Rightarrow 4 + 3b = 1\]
\[ \Rightarrow - 3 = 3b\]
\[ \Rightarrow b = - 1\]
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