BITSAT2011MathematicsLimitsActual
Evaluate ( _ x 1+ 3 x -1 (1+ 2 x) );
Options
- A(1 / 2 )
- B(3 / 2 )
- C(3 / 4 )
- D(1 / 4 )
Correct answer
C. (3 / 4 )
Step-by-step solution
( aligned & _ x 0 1+ 3 x -1 (1+ 2 x) = & _ x 0 (1+ 3 x)-1 1+ 3 x+1 ) (1+ 2 x) = & _ x 0 1 ( 1+ 3 x +1) 3 x (1+ 2 x)^ 1 2 x 1 2 x aligned ) ( aligned & = _ x 0 1 ( 1+ 3 x +1) ( 3 x 3 x ) ( 2 x 2 x ) & 3 2 x 1 (1+ 2 x)^ 1 2 x & = ( 1 1+1 )(1)(1) ( 3 2 ) 1 e = 3 4 . aligned )