Let [x] denote the greatest integer less than or equal to x. Then, lim_x → 0 (tan(π sin^2 x) + (|x| - sin(x[x]))^2)/(x^2)

Let [x] denote the greatest integer less than or equal to… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 11 Jan · Shift I

Let

[x]

denote the greatest integer less than or equal to

x

. Then,

\lim_{x \to 0} \frac{\tan(\pi \sin^2 x) + (|x| - \sin(x[x]))^2}{x^2}

Show answer

Correct option: D

[JEE Main 2019 · 11 Jan · Shift I]

Practise Limits Continuity and Differentiability the way it is asked

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