# How well you know greatest integer function?

Algebra Level 3

Let $$f(x)$$ be a continuous function whose range is $$[2,6.5]$$.

If $$h(x)=\left\lfloor \dfrac { \cos x+f(x) }{ \lambda } \right\rfloor ,\lambda \in \mathbb N$$ be continuous, where $$\left\lfloor . \right\rfloor$$ denotes the greatest integer function, then the least value of $$\lambda$$ is:

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