Learn how to solve limits by direct substitution problems step by step online. Find the limit of (e^x^2-e^4)/(x-2) as x approaches 2. Evaluate the limit \lim_{x\to2}\left(\frac{e^{\left(x^2\right)}- e^4}{x-2}\right) by replacing all occurrences of x by 2. Subtract the values 2 and -2. An expression divided by zero tends to infinity. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to 2. In this case, since we are approaching 2 from the left, let's try replacing a slightly smaller value, such as 1.99999 in the function within the limit:.

Find the limit of (e^x^2-e^4)/(x-2) as x approaches 2