lim-x-sec-2-x-sec-x-tan-x-

Question Number 188699 by cortano12 last updated on 05/Mar/23

\lim_{x \to \infty} (\sec^{2} x - \sec x \tan x) = ?

Answered by mehdee42 last updated on 05/Mar/23

l i \underset{x \to \infty}{m} (\frac{1 - s i n x}{{c o s}^{2} x}) = l i \underset{x \to \infty}{m} (\frac{1}{1 + s i n x}) = A

i f x = 2 n π \Rightarrow A = 1 & i f x = 2 n π + \frac{π}{2} \Rightarrow A = \frac{1}{2}

t h e r e f o r e, t h e r e i s n o l i m i t

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