The value of 0e^0d0 is -1 if the integral in this exercise converges after applying limit.
A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We are assuming the:
[tex]=\int\limits^0_{-\infty} {\theta e^{\theta}} \, d\theta[/tex]
Applying limit;
[tex]=\lim_{n \to \infty} \int\limits^0_{-n} {\theta e^{\theta}} \, d\theta[/tex]
After solving the integral:
[tex]=\lim_{n \to \infty} (e^{\theta})|^0_-_p[/tex]
= -(1-0)
= -1
Thus, the value of 0e^0d0 is -1 if the integral in this exercise converges after applying limit.
Learn more about the convergent of a series here:
brainly.com/question/15415793
#SPJ1
