COMEDK2015MathematicsLimits
_ x ( a² x²+b x+x -a x )=
Options
- Ab+1 2 a
- Bb a
- C0
- D2 b a
Correct answer
A. b+1 2 a
Step-by-step solution
We have, _ x ( a² x²+b x+x -a x ) aligned &= _ x ( ( a² x²+b x+x -a x ) ( a² x²+b x+x +a x ) ( a² x²+b x +x+a x ) ) &= _ x ( (a² x²+b x+x )-a² x² x a²+ b x + 1 x +a ) &= _ x ( (b+1) x x a²+ b x + 1 x +a )= b+1 2 a aligned