Exponential Convergence: Solving the Integral from 0 to Infinity of exp(-x)

[Mattofix]

[SOLVED] exponential converge?

Homework Statement

does the integral from 0 to infinty of exp(-x) converge - if so, is it just accepted or does it need to proven?

 

[sutupidmath]

$$\int_0^{\infty}e^{-x}dx$$ it is convergent and it needs to be proven!
you might want to go like this, although you haven't shown your work at all!

$$\lim_{b \rightarrow \infty} \int_0^{b}e^{-x}dx$$, now can you find an antiderivative for the integrand $$e^{-x}$$

 

[Mattofix]

thanks - yeah, sorry i havnt shown any working- i know it converegs to 1 though.

 

[sutupidmath]

thanks - yeah, sorry i havnt shown any working- i know it converegs to 1 though.

Yeah after u evaluate that limit, you will end up with 1. good job!