Question

LIM X TEND S TO INFINITY 3X*X+5X+4\X*X*X+7X

Answer 1

0

Answer 2

Note: the degree in the numerator is 2 and the degree in the denominator is 3

x^2/x^3 simplifies to 1/x

as 1/x gets bigger, we get 0

Answer 3

\[\Large \mathop {\lim }\limits_{x \to \infty } \frac{{3{x^2} + 5x + 4}}{{{x^3} + 7x}} = \mathop {\lim }\limits_{x \to \infty } \frac{{3{x^2}}}{{{x^3}}} = 0\]

Answer 4

Because the order of the denominator is greater than the order of the numerator, the limit will be zero because the denominator grows faster than the numerator. 1/infinity equals zero