Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Improper Integrals
Consider the improper integrals \(I_1=\int_1^{\infty} \frac{d x}{x \sqrt{x^2+1}}\) and \(I_2=\int_0^{\infty} e^{-x^2} d x\). Then,
1
I1 is convergent but I2 is divergent
2
I1 is divergent but I2 is convergent
3
both l1 and l2 are convergent
4
Neither l1 nor l2 are convergent
5
Question Not Attempted