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If f(x)=x^2, x<2, f(x)=x^3+3x, x>2 and ...

If `f(x)=x^2, x<2, f(x)=x^3+3x, x>2 ` and `f(x)=a,x=2` then find values of `a` for which `f(x)` is strictly monotonically increasing at `x=2`

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