1-lim-x-0-sin-1-x-2-lim-x-sin-x-

Question Number 58867 by malwaan last updated on 01/May/19

1 : \underset{x \to 0}{l i m} s i n (\frac{1}{x})

2 : \underset{x \to \infty}{l i m} s i n (x)

Commented by tanmay last updated on 01/May/19

1) \lim_{x \to 0} s i n (\frac{1}{x})

t h e l i m i t i n g v a l u e l i e s b e t w e e n \pm 1

2) t = \frac{1}{x} w h e n x \to \infty t \to 0

\lim_{t \to 0} s i n (\frac{1}{t})

t h e l i m i t i n g v a l u e l i e s b e t w e e n \pm 1

a t t a c h i n g g r a p h f o r c l a r i t y .

Commented by tanmay last updated on 01/May/19

Commented by tanmay last updated on 01/May/19

Commented by malwaan last updated on 01/May/19

\underset{x \to 0^{+}}{l i m} s i n (\frac{1}{x}) \to + ve

\underset{x \to 0^{-}}{l i m} s i n (\frac{1}{x}) \to - ve

∴ \underset{x \to 0}{l i m} s i n (\frac{1}{x}) d o e s n o t e x i s t

A m I r i g h t ?

p l e a s e c h e c k \dots .

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