Question

Lim x → ∞ (X^2-3x+5)

Answer 1

Ответ:

Объяснение:

lim x²(1-3/x + 5/x²) ⇒ 3/x = 0,  5/x² = 0⇒ lim x² = ∞

Answer 2

To evaluate the limit of the expression as x approaches infinity:

Lim(x → ∞) (x^2 - 3x + 5)

We can look at the behavior of each term as x becomes very large:

1. x^2: As x becomes larger and larger, x^2 will increase without bound.
2. -3x: Similarly, as x becomes larger, -3x will decrease without bound in the negative direction.
3. 5: The constant term 5 remains constant regardless of the value of x.

When you add these terms together, the term with the highest power (x^2) will dominate the behavior of the expression as x approaches infinity. The other terms become negligible compared to x^2. So, the expression effectively becomes:

Lim(x → ∞) (x^2)

As x^2 grows without bound as x approaches infinity, the limit of the expression also becomes infinity:

Lim(x → ∞) (x^2) = ∞