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education/math/MATH1210 (calc 1)/Limits.md

@@ -85,4 +85,8 @@ L'Hospital's Rule can also be used when both the numerator and denominator appro
 $$ \lim_{x \to \infty} \dfrac{x^2-2}{3x^2-4} = \lim_{x \to \infty} \dfrac{2x}{6x}$$
 The above problem can be solved more easily *without* L'Hospital's rule, the leading coefficients are 1/3, so the limit as $x$ approaches $\infty$ is 1/3.
 
-L'Hospital's rule **cannot** be used in any other circumstance. 
+L'Hospital's rule **cannot** be used in any other circumstance. 
+
+## Examples
+1. $\lim_{x \ to 0} \dfrac{7^x - 5^x}{2x}$
+2. $= \lim_{x \ to 0}