The value of the limit lim θ → 0 (tan (π cos ²θ))/(sin (2π sin ²θ)) is equal to:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 17 Mar, Evening shift · Q4284

JEE Main 202117 Mar, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The value of the limit

\mathop {\lim }\limits_{\theta \to 0} {{\tan (\pi {{\cos }^2}\theta )} \over {\sin (2\pi {{\sin }^2}\theta )}}

is equal to :

JEE Main 2021 · 17 Mar, Evening shift · Q4284

JEE Main 202117 Mar, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The value of the limit

\mathop {\lim }\limits_{\theta \to 0} {{\tan (\pi {{\cos }^2}\theta )} \over {\sin (2\pi {{\sin }^2}\theta )}}

is equal to :