Evaluate the Limit limit as x approaches 8 of e^(-x)

Problem

(lim_x→8)(e(−x))

Solution

1. Identify the type of function. The function ƒ(x)=e(−x) is an exponential function, which is continuous for all real numbers.

2. Apply the direct substitution property for limits of continuous functions. Since the function is continuous at x=8 the limit is equal to the function value at that point.

3. Substitute the value x=8 into the expression e(−x)

4. Simplify the expression to its final form.

Final Answer

(lim_x→8)(e(−x))=e(−8)

Want more problems? Check here!