Question

Lim x>1 (3x^2-2x+1)\x^3+ 1

Answer 1

Просто подставь 1 вместо х
=lim $\frac{3*1-2*1+1}{1+1} = \frac{2}{2} =1$

Answer 2

To evaluate the limit of the expression as x approaches infinity (x > 1), let's simplify the expression first:

lim (x→∞) [(3x^2 - 2x + 1) / (x^3 + 1)]

As x approaches infinity, the highest power of x dominates the expression. So let's focus on the highest power terms:

lim (x→∞) (3x^2 / x^3)

We can simplify this further by dividing the numerator and denominator by x^2:

lim (x→∞) (3 / x)

Now, as x approaches infinity, the value of 1/x approaches 0:

lim (x→∞) (3 / x) = 0

Therefore, the limit of the given expression as x approaches infinity (x > 1) is 0.