Final answer:
The provided question is incorrect or incomplete, but finding the limit of a function as t approaches infinity generally requires analyzing the highest degree terms. For expressions like t², the limit is infinity, whereas for expressions like 6t - t², the limit is negative infinity. Quadratic equations can be solved using the quadratic formula.
Step-by-step explanation:
The question appears to be incorrect or incomplete, making it challenging to provide a specific answer regarding the limit. However, the general process for finding the limit of a function as t approaches infinity involves analyzing the highest degree terms in the expression. If there is a specific function given, such as t² or 6t - t², you would typically divide through by the highest power of t to simplify the expression and determine the behavior of the function as t approaches infinity.
For example, with an expression like t² - this simply grows larger without bound as t approaches infinity, so the limit would be infinity. On the other hand, if we have 6t - t², by factoring out a t, we see that as t gets large, the -t² term will dominate and the function will tend towards negative infinity.
When confronted with a quadratic equation like t² + 10t - 2000 = 0, you can use the quadratic formula to find the roots of the equation, which would give the values of t where the function equals zero.