Limits and L'Hospital's Rule

L'Hospital's Rule 1 ${\textstyle \lim _{x\to 0}{f(x) \over g(x)}=lim_{x\to 0}{f'(x) \over g'(x)}}$ L'Hospital's Rule 2 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\textstyle \lim_{x\to \infinity } {f(x) \over g(x)} = lim_{x\to 0} {f'(x) \over g'(x)} }