MHT CET202314 May 2023Morning ShiftMathematicsLimitsActual
_ x x^3 x^2+ 1+x^4 -x 2 =
Options
- A1 2
- B1 4 2
- C-1 4 2
- D-1 2
Correct answer
B. 1 4 2
Step-by-step solution
aligned & _ x x^3 ( x^2+ 1+x^4 -x 2 ) & = _ x x^3 (x^2+ 1+x^4 -2 x^2 ) x^2+ 1+x^4 +x 2 & = _ x x^3 ( 1+x^4 -x^2 ) x^2+ 1+x^4 +x 2 & = _ x x^3 (1+x^4-x^4 ) ( x^2+ 1+x^4 +x 2 ) ( 1+x^4 +x^2 ) aligned aligned & = _ x x^3 x^3 ( 1+ 1 x^4 +1 + 2 ) ( 1 x^4 +1 +1 ) & = _ x 1 ( 1+ 1 x^4 +1 + 2 ) ( 1 x^4 +1 +1 ) & = 1 ( 1+1 + 2 )(1+1) & = 1 4 2 aligned