PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Continuity & Differentiability
Let \(f(x) = \frac{e^{x^2} - 1}{\sin(x) - x} \) and \(g(x) = \frac{e^{x^2} + 1}{\cos(x) + x^2} \).
Find the limit: \( \lim_{x \to 0} \frac{f(x)}{g(x)} \)
1
0
2
1
3
\(\infty \)
4
2