# Indirect limits

Calculus Level 3

$\large f(x) = \frac{(e^x-1)^4}{\sin \left(\frac{x^2}{\lambda^2} \right) \ln \left(1 + \frac{x^2}2 \right) }$

For non-zero $$x$$, denote the function $$f$$ as above. If $$f(0)= 8$$ and $$f$$ is continuous then what is the possible value of $$\lambda$$?

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