solve this plz

consider the integral \int_{0}^{inf}{x^{\mu}}dx where μ is real . We have \int_{0}^{inf}{x^{\mu}}dx = \int_{0}^{1}{x^{\mu}}dx + \int_{1}^{inf}{x^{\mu}}dx = I₁ + I₂

, where I₁ is evaluated using the limitng process \lim_{\epsilon \rightarrow 0}\int_{0}^{1}{x^{\mu }} d\mu

and I₂ is calculated using I_{2} = \int_{1}^{inf}{x^{\mu }}dx is evaluated using the limitng process \lim_{R\rightarrow inf}\int_{1}^{R}{x^{\mu }} d\mu

it follows that .

A) both integrals exist for all μ+1>0
B) both integrals exsit for all μ+1 < 0
C) I1 exists and I2 doesn't exist if μ+1>0
D) I1 doesn't exist and I2 exist if μ+1 < 0

it's multi correct options .
how do I proceed ? what significance does μ+1 have ?????? mughe kuch nahi samaj me nahi aaya isme :(