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Let [t] denote the greatest integer le t...

Let [t] denote the greatest integer `le t and {t}` denote the fractional part of t. The integral value of `alpha` for which the left hand limit of the function
`f(x) = [1 + x] + (alpha^(2[x]+{x}) + [x] -1)/(2[x] + {x})` at x = 0 is equal to `alpha - 4/3 `, is ______________.

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