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JEE MAIN 2025
03-04-2025 SHIFT-1
Question
Let \[f(x) = \left\{ {\begin{array}{*{20}{l}} {{{(1 + ax)}^{1/x}}}&{,x < 0}\\ {1 + b}&{,x = 0}\\ {\frac{{{{(x + 4)}^{1/2}} - 2}}{{{{(x + c)}^{1/3}} - 2}},}&{x > 0} \end{array}} \right.\] be continuous at $x = 0$. Then ${e^a}bc$ is equal to:
Select the correct option:
A
72
B
48
C
36
D
64
βœ“ Correct! Well done.
βœ— Incorrect. Try again or view the solution.
Solution
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Mathematics
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