Learn how to solve trigonometric integrals problems step by step online. Find the limit of ((e^2-e^(-2))^2)/(x^2) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\left(e^2- e^{-2}\right)^2}{x^2}\right) by replacing all occurrences of x by 0. Calculate the power 0^2. 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 0. In this case, since we are approaching 0 from the left, let's try replacing a slightly smaller value, such as -0.00001 in the function within the limit:.

Find the limit of ((e^2-e^(-2))^2)/(x^2) as x approaches 0