Evaluate \int\limits^e_0 {(1)/(x) } \, dx 1 e^2-1/(1) 0 The integral diverges. I think it is the last option, but I am not entirely sure.

Question

Evaluate
`\int\limits^e_0 {(1)/(x) } \, dx`

1

e^2-1/(1)

0

The integral diverges.

I think it is the last option, but I am not entirely sure.

Answer 1

The integral diverges.

Explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.