Continuity & Differentiability | JEE Main 2025

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:

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Report Issue