Continuous Function Parameter Calculation (Jee …

Continuity and Differentiability

Medium

Continuous Function Parameter Calculation

Let $f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {{{(1 + ax)}^{1/x}}}&,&{x < 0}\\[0.9em] {1 + b}&,&{x = 0}\\[0.9em] {\frac{{{{\left( {x + 4} \right)}^{1/2}} - 2}}{{{{\left( {x + c} \right)}^{1/3}} - 2}}}&,&{x > 0} \end{array}} \right.$
be continuous at x = 0. Then e^a bc is equal to

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