Problem 32RE
Evaluate the following limits. Use l’ Hospital’s Rule when needed.
\(\lim _{x \rightarrow 0} \frac{e^{-2 x}-1+2 x}{x^{2}}\)
Step-by-Step Solution:
Solution Step 1 In this problem we have to evaluate the limit lim e2x1+2x by using l'Hôpital's Rule when x0 x2 needed. l'Hôpital's Rule: f(x) f(x) Suppose that we have one of the following cases, lim = or lim = ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. In these cases we have lim f(x)= lim f(x) xa g(x) xa gx)
Step 2 of 2
