1: Conditions
    • x > 0,
    • x − e ≠ 0
give the domain

Df ) = (0,e) ∪ (e,∞).

Now it is time to find limits at 0 from the right, at e from the left and from the right, and at ∞.

Hint on limit at 0 from the right
Hint on limit at e from the left
Hint on limit at e from the right
Hint on limit at ∞
Answer