Let $f(x) = \begin{cases} (1+ax)^{1/x}, & x 0 \end{cases}$ be continuous at $x = 0$. Then $e^a bc$ is equal to:

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 1, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

Let

f(x) = \begin{cases} (1+ax)^{1/x}, & x < 0 \\ 1+b, & x = 0 \\ \dfrac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2}, & x > 0 \end{cases}

be continuous at

x = 0

. Then

e^a bc

is equal to:

Official answer

Option 1

NTA final key.