SlytherinPrincess8 SlytherinPrincess8
  • 17-05-2020
  • Mathematics
contestada

Evaluate [tex]\int\limits^e_0 {\frac{1}{x} } \, dx[/tex]

1

e^2-1/(1)

0

The integral diverges.

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

Respuesta :

MathPhys
MathPhys MathPhys
  • 17-05-2020

Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

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

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