Limits

Calculus Level 4

limx0f(x)f(x)+sinxx3+ex \lim_{x\to0} \dfrac{ f'(x) }{ f'''(x) + \frac{\sin x}{\sqrt[3]{x}} + e^x}

Let ff be a differentiable function on R\mathbb R with continuous derivatives til order 4. Suppose f(x)=f(x)xRf(-x) = f(x) \forall x \in \mathbb R . Compute the limit above.

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