lim-x-0-sin-x-x-

Question Number 44085 by rk last updated on 21/Sep/18

l i m x \to 0 [\frac{\sin ∣ x ∣}{x}]

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

g r a p h o f s i n ∣ x ∣

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

g r a p h o f \frac{s i n ∣ x ∣}{x}

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

Commented by tanmay.chaudhury50@gmail.com last updated on 22/Sep/18

\underset{x \to 0 +}{li m} [\frac{s i n ∣ x ∣}{x}] \to 1 [.] \leftarrow g r e a t e s t i n t e g e r f u n c t i o n

\lim_{x \to 0 -} [\frac{s i n ∣ x ∣}{x}] \to - 1

s o l e f t h a n d s i d e l i m i t \to - 1

r i g h t h a n d s i d e l i m i t \to 1 s o l i m i t d o e s n o t e x i s t