x-y-lim-tan-x-tany-x-y-

Question Number 195365 by Mr.D.N. last updated on 31/Jul/23

\underset{x \to y}{\overset{\lim}{}} \frac{\tan x - tany}{x - y}

Answered by cortano12 last updated on 31/Jul/23

\lim_{x \to y} \frac{\tan (x - y) (1 + \tan x \tan y)}{x - y}

= 1 + \tan^{2} y = \sec^{2} y

Answered by kapoorshah last updated on 31/Jul/23

\lim_{x \to y} \frac{\sec^{2} x}{1} L^{'} H o p i t a l

= \sec^{2} y