AP EAMCET20227 Jul 2022Evening ShiftMathematicsLimitsActual
_ x 0 x^3 x^2+ x^4+1 - 2 x =
Options
- A0
- B1 2 2
- C1 4 2
- D1 2
Correct answer
A. 0
Step-by-step solution
aligned & _ x 0 x^3 ( x^2+ x^4+1 - 2 x ) &= _ x 0 ( x^2+ x^4+1 + 2 x . ( x^2+ x^4+1 + 2 x . & x^3 ( x^2+ x^4+1 - 2 x ) &= _ x 0 (x^3 ) ( x^4+1 -x^2 ) & _ x 0 1 x^2+ x^4+1 + 2 x &= _ x 0 (x^3 ) ( x^4+1 -x^2 ) ( x^4+1 +x^2 . x^4+1 +x^2 &= _ x 0 x^3 x^4+1 +x^2 =0 aligned