If \(f'\left( x \right) = \frac{1}{{1 + x}}\;and\;f\left( 0 \right) = 5\), then the maximum value of f(1) in the interval 0 ≤ x ≤ 1 using Lagrange's mean value theorem is _____.

Enter numerical value using the virtual keypad. Round off where necessary.

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