Q 16 Find the value of 'a' for which the function 'f' defined as: fx= a sinπ2x+1, x≤0tanx-sinxx3, x - Maths - Continuity and Differentiability

Question

Q   16   F i n d   t h e   v a l u e   o f
  ' a '   f o r   w h i c h   t h e   f u
n c t i o n   ' f '   d e f i n e d   a s :   f
x =   a   sin π 2 x + 1 ,   x ≤ 0 tan x -
sin x x 3 ,   x > 0   i s   c o n t i n u o u s
  a t   x = 0 A n s   a = 1 2

Varun Rawat · Accepted Answer

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Q 16 . F i n d t h e v a l u e o f ' a ' f o r w h i c h t h e f u n c t i o n ' f ' d e f i n e d a s : f x = a sin π 2 x + 1 , x ≤ 0 tan x - sin x x 3 , x > 0 i s c o n t i n u o u s a t x = 0 . A n s . a = 1 2

$Q 16 . F i n d t h e v a l u e o f' a' f o r w h i c h t h e f u n c t i o n' f' d e f i n e d a s : f (x) = \{\begin{array}{l} a \sin (\frac{π}{2}) (x + 1) & , x \leq 0 \\ \frac{\tan (x) - \sin (x)}{x^{3}} & , x > 0 \end{array} i s c o n t i n u o u s a t x = 0 . [A n s . a = \frac{1}{2}]$