Examinethe continuityof the following (i) x + sin x (ii)x^(2) cos x(iii)e^(x) tan x (iv)e^(2x) + x^(2) (v)x. In x (vi)( sin x)/x^(2) (vii)(x^(2) -16)/(x+4) ( viii) |x +2 | + | x -1| (ix) (|x+2|)/(|x+1|)(x)cot x + tan x OR find the pointsof discontinuityof the function f, where (i)f(x) = {{:(4x+5, if xle 3) , (4x - 5,ifxgt 3) :} (ii)f(x) = {{:(x+2, if x ge2) , ( x^(2) , if x lt2):} f(x)= {{:(x^(3) - 3,ifx le 2) , (x^(2) +1 , if x gt 2):} (iv) if f(x) = {{:(sin x , 0 le x le pi/4),( cos x , pi/4 lt x lt pi/2):}

Examinethe continuityof the following (i) x + sin x (ii)x^(2) cos x(i

1.	Examinethe continuityof the following (i) x + sin x (ii)x^(2) cos x(iii)e^(x) tan x (iv)e^(2x) + x^(2) (v)x. In x (vi)( sin x)/x^(2) (vii)(x^(2) -16)/(x+4) ( viii) \|x +2 \| + \| x -1\| (ix) (\|x+2\|)/(\|x+1\|)(x)cot x + tan x OR find the pointsof discontinuityof the function f, where (i)f(x) = {{:(4x+5, if xle 3) , (4x - 5,ifxgt 3) :} (ii)f(x) = {{:(x+2, if x ge2) , ( x^(2) , if x lt2):} f(x)= {{:(x^(3) - 3,ifx le 2) , (x^(2) +1 , if x gt 2):} (iv) if f(x) = {{:(sin x , 0 le x le pi/4),( cos x , pi/4 lt x lt pi/2):}
Answer» Answer :(i)` X inRR` (ii)cos x (III) ` pi/2` (iv)` x in RR` (v) `f(x)` (VI) 0 (vii) -4 (viii)` x in RR` (ix) `-1` (x) ` - ( npi)/2` (b) (i)x =3 (ii)4 (iii) 5 (iv) ` ( 0, pi/2)`