Question

lim x →∞ √(x²+4x+16)-√(x³+16)​

Answer 1

Answer:

(((x3) - 2x2) - 4x) - 16 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-2x2-4x-16 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-2x2-4x-16

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -4x-16

Group 2: -2x2+x3

Pull out from each group separately :

Group 1: (x+4) • (-4)

Group 2: (x-2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3-2x2-4x-16

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0