Question

Evaluate the Limit limit as x approaches negative infinity of e^(-x^2)

Answer 1

The limit as x approaches negative infinity of e^(-x^2) is 0.

Step-by-step explanation:

To evaluate the limit as x approaches negative infinity of e^(-x^2), we can analyze the behavior of the function as x gets smaller and smaller. As x approaches negative infinity, the value of e^(-x^2) approaches 0. This is because the exponent, (-x^2), becomes larger and larger in magnitude, resulting in a very small value for e^(-x^2). Therefore, the limit as x approaches negative infinity of e^(-x^2) is 0.