lim-x-0-sin-x-x-lim-x-0-100sin-1-x-x-100tan-1-x-x-lim-x-0-100x-sin-1-x-100x-tan-1-x-where-x-denotes-greatest-integer-less-than-or-equal

Question Number 142140 by gsk2684 last updated on 26/May/21

[\lim_{x \to 0} \frac{\sin x}{x}] = ?

\lim_{x \to 0} {[\frac{{100 \sin}^{- 1} x}{x}] + [\frac{{100 \tan}^{- 1} x}{x}]} = ?

\lim_{x \to 0} {[\frac{100 x}{\sin^{- 1} x}] + [\frac{100 x}{\tan^{- 1} x}]} = ?

w h e r e [x] d e n o t e s g r e a t e s t i n t e g e r

l e s s t h a n o r e q u a l t o x .

s o l u t i o n p l e a s e

Answered by mathmax by abdo last updated on 27/May/21

\lim_{x \to 0} \frac{sinx}{x} = 1 \Rightarrow [\lim_{x \to 0} \frac{sinx}{x}] = 1

Commented by gsk2684 last updated on 27/May/21

thank you

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