Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Multiple Integrals
Let f(x, y) = \(\displaystyle \iint_{(u-x)^2+(v-y)^2 \leq 1}\) \( e^{-\sqrt{(u-x)^2+(v-y)^2}} \) du dv.
Then \(\displaystyle\lim_{x \rightarrow \infty}\) f(n, n2) is
1
non-existent
2
0
3
π(1 − e−1)
4
2π(1 − 2e−1)