Evaluate x- 4 lim 1-tan x 1- 2 sin x

x→π /4 Lim #160; #160; 1 tanx 1 √( 2 ) sinx = 0 0 formApplying L' Hospital Rule = ^ 2 x √( 2 ) cosx =^ 2 x √( 2 ) #160; ...

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Trigonometric Table

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Question

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

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l i m x \to \frac{π}{4} \frac{1 - t a n x}{1 - \sqrt{2} s i n x}

l i m x \to \frac{3 π}{4} \frac{1 + \sqrt[3]{tan x}}{1 - 2 {cos}^{2} x}

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

f (x) = \frac{1 - t a n x}{1 - \sqrt{2} s i n x}

x \neq \frac{π}{4}

x = \frac{π}{4}

f (\frac{π}{4})

I f f (x) = \frac{1 - tan x}{1 - \sqrt{2} sin x}, f o r x \neq \frac{π}{4} i s c o n t i n o u s a t x = \frac{π}{4}, f i n d f (\frac{π}{4})

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