Please answer 30 Examine the function f(x) = x - a sin 1x - a, - Maths - Continuity and Differentiability

Question

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30       E x a m i n e   t h e   f u n c t
i o n   f ( x )   =   x   -   a   sin
  1 x   -   a ,   x   ≠   a
                 
  0                
                 
        ,   x   =   a   f o
r   c o n t i n u i t y   a t   x   =   a

Rambaboo Khatana · Accepted Answer

Please answer 30 . E x a m i n e t h e f u n c t i o n f ( x ) = x - a sin 1 x - a , x ≠ a 0 , x = a f o r c o n t i n u i t y a t x = a .

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$30 . E x a m i n e t h e f u n c t i o n f (x) = \{\begin{cases} |x - a| \sin \frac{1}{x - a}, x \neq a \\ 0, x = a \end{cases} f o r c o n t i n u i t y a t x = a .$