_ x 0 (1 - 2x)(3 + x) x 4x is equal to:

Step-by-step solution

_ x 0 (1 - 2x)(3 + x) x 4x Using the trigonometric identity 1 - 2x = 2 ^2 x : = _ x 0 2 ^2 x(3 + x) x 4x Dividing the numerator and the denominator by x^2 : = _ x 0 2 ( x x )^2(3 + x) 4x x = _ x 0 2 ( x x )^2(3 + x) 4 ( 4x 4x ) Using the standard limits _ x 0 x x = 1 and _ x 0 = 1 : = 2(1)^2(3 + 0) 4(1) = 2(4) 4 = 2 Answer: 2