help-please-lim-x-4-cos-4-x-tan-x-1-sin-4-x-

Question Number 196107 by maths_plus last updated on 18/Aug/23

help, please!

\underset{x \to \frac{π}{4}}{l i m} \frac{c o s (\frac{π}{4} - x) - t a n x}{1 - s i n (\frac{π}{4} + x)} = ? ? ?

Answered by MM42 last updated on 21/Aug/23

h o p \to {l i m}_{x \to \frac{π}{4}} \frac{s i n (\frac{π}{4} - x) - (1 + {t a n}^{2} x)}{- c o s (\frac{π}{4} + x)}

= \frac{- 2}{0} {\begin{cases} x \to \frac{π^{+}}{4} = + \infty \\ x \to \frac{π^{-}}{4} = - \infty \end{cases}

\Rightarrow l i m i t n o t e x i s t

Commented by maths_plus last updated on 18/Aug/23

thank you