Consider \(\rm f_n(x)=\frac{x^n+11}{x^n+13}, \)
x ∈ ℝ - ℚ = xn + nx + ln(x + 1) + 5.sin nx,
x ∈ \(\rm \frac{N}{21111....}=e^{x^{\sin x}}+\sin e^{x^2+x}\);
0 otherwise Then \(\rm \lim_{n\rightarrow \infty}\int_0^1f_n(x)dx\)
1
0
2
\(\frac{5}{6}\)
3
\(\frac{11}{13}\)
4
∞
5
Question Not Attempted