AP EAMCET20228 Jul 2022Morning ShiftMathematicsLimitsActual
_ x 0 x^2 ( x) (1+x^2 ) =
Options
- A0
- B1
- C-1
Correct answer
A. 0
Step-by-step solution
We are given that _ x 0 x 2 ( x) (1+x^2 ) ( 0 0 . form ) aligned & = _ x 0 x^2 ( 1 x ) (- x)+ ( x) 2 x ( 1 1+x^2 ) 2 x & = _ x 0 [=x^2 x+2 x x ( x) ] (1+x^2 ) 2 x x & = _ x 0 x (1+x^2 )[-x x+2 x ( x)] 2 x x & = _ x 0 (1+x^2 )[-x x+2 x ( x)] 2 x & = 1 [0+2 (1)] 2 = 0 2 =0 aligned