A) 3a
B) 2a
C) 5a
D) 4a
Correct Answer: A
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,\frac{2f(x)-3f(2x)+f(4x)}{{{x}^{2}}}\] Using L-Hospital?s rule twice, we get \[\underset{x\to 0}{\mathop{\lim }}\,\frac{2f''(x)-3.2.2f''(2x)+4.4f''(4x)}{2}=3a\] {\[\because \]Given \[f''(0)=a\]}.You need to login to perform this action.
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