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## Homework Statement

Find the moment generating of:

[tex]f(x)=.15e^{-.15x}[/tex]

## Homework Equations

[tex]M_x(t)= \int_{-\infty}^{\infty}{e^{tx}f(x)dx}[/tex]

## The Attempt at a Solution

I get down to the point (if i've done my calculus correctly) and gotten:

[tex]\frac{.15e^{(t-.15)x}}{t-.15} \Bigr| _{0}^{\infty}[/tex]

and I don't know how to evaulate this. Am I right this far? And if I am, how does this equate to the answer in the back of the book:

[tex]\frac{.15}{.15-t}[/tex]