Lim x- 4 sec 2 x-2 tanx-1

lim_x→π41+tan^2x 2tanx 1 where ^2x=1+tan^2x =lim_x→π4tan^2x 1tanx 1 =lim_x→π4(tanx 1)(tanx+1)tanx 1 =lim_x→π4(tanx+1) =tanπ4+1 ...

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Substitution Method to Remove Indeterminate Form

lim x→π 4 sec...

Question

${lim}_{x \to \frac{π}{4}} \frac{{s e c}^{2} x - 2}{t a n x - 1}$

Open in App

Solution

Suggest Corrections

Similar questions

f (x) = \frac{s e c^{2} x - t a n x}{s e c^{2} x + t a n x} - \frac{π}{2} < x < \frac{π}{2}

{lim}_{x \to \frac{π}{2}} \frac{[1 - tan (\frac{x}{2})] [1 - sin x]}{[1 + tan (\frac{x}{2})] [π - 2 x]^{3}}

lim x \to π / 2 \frac{[1 - tan (\frac{x}{2})] [1 - sin x]}{[1 + tan (\frac{x}{2})] [π - 2 x^{3}]}

{lim}_{x \to \frac{π}{2}} \frac{(1 - tan \frac{x}{2}) (1 - sin x)}{[1 + tan \frac{x}{2}] [π - 2 x]^{3}}

lim x \to π / 4 \frac{1 - tan x}{1 - \sqrt{2} sin x}

Join BYJU'S Learning Program