Respuesta :
When dealing with the expression E^(1/x) where x is less than 0, it's important to understand how to interpret this:
1. When x is less than 0, it means that x is a negative number.
2. In this case, as x approaches 0 from the left side (negative values), the value of 1/x approaches negative infinity.
3. Since the exponential function E^(1/x) involves dividing 1 by x, as x gets closer to 0 from the negative side, the result of 1/x approaches negative infinity.
4. Therefore, E^(1/x) when x is less than 0 would approach 0 as x approaches 0 from the negative side due to the nature of the exponential function and the behavior of 1/x for negative values of x.
This explanation helps clarify the behavior of E^(1/x) when x is less than 0 and highlights how the expression approaches 0 as x approaches 0 from the negative side
