Limits Continuity and Differentiability

JEE Main 2021 · 31 Aug, Evening shift · Q4288

MathematicsMedium179×since 2002Q4288

\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}

and

\beta = \mathop {\lim }\limits_{x \to 0 } {(\cos x)^{\cot x}}

are the roots of the equation, ax² + bx

-

4 = 0, then the ordered pair (a, b) is :

JEE Main 2021 · 31 Aug, Evening shift · Q4288

MathematicsMedium179×since 2002Q4288

\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}

and

\beta = \mathop {\lim }\limits_{x \to 0 } {(\cos x)^{\cot x}}

are the roots of the equation, ax² + bx

-

4 = 0, then the ordered pair (a, b) is :

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