Answer:
Step-by-step explanation:
We want to evaluate the limit:
To do so, we can divide everything by <em>x</em>². So:
Now, we can apply direct substitution:
Any constant value over infinity tends towards 0. Therefore:
Hence:
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3<em>x</em>²<em>, </em>and in the denominator it is <em>x</em>². So:
Simplify:
The limit of a constant is simply the constant.
We acquire the same answer.