Question 839662
*[tex \large \lim_{x \to 0} \frac{x^4 - 2x^3 + x^2}{\tan x}]


Indeterminate, so use L'Hopital's rule.


*[tex \large = \lim_{x \to 0} \frac{4x^3 - 6x^2 + 2x}{\sec^2 x}]


*[tex \large = \frac{0}{1} = 0]