Question

evaluate the limit-​

Answer 1

Hope it helps u!!!!!!!!!!!!!!

Answer 2

Answer:

Answer is -2

Step-by-step explanation:

We Have :-

$\lim_{x \to \frac{\pi }{4} } \frac{( 1 - tanx )}{( x - \frac{\pi}{4}) }$

Solution :-

$\lim_{x \to \frac{\pi }{4} } \frac{( 1 - tanx )}{( x - \frac{\pi}{4}) } \\\\If\ we\ apply\ limit\ its\ gonna\ be\ 0/0\\\\So\ we\ apply\ l'Hopital\ Rule\\\ \lim_{x \to \frac{\pi}{4} } \frac{0-sec^{2}x}{1-0} \\\\ \lim_{x \to \frac{\pi}{4} } \frac{-sec^{2}}{1} \\\\Applying\ Values$

$= -sec^{2}(\frac{\pi}{4} )\\\\= -( \sqrt{2} )^{2}\\\\= -2$

Answer is -2