Question

How do you express `1/(1+e^x)` in partial fractions?

Answer 1

`1-e^x/{e^x+1}`

Explanation:

`\frac{1}{e^x+1}`

`=\frac{e^x+1-e^x}{e^x+1}`

`=\frac{e^x+1}{e^x+1}-e^x/{e^x+1}`

`=1-e^x/{e^x+1}`