When we talk about assessing limits that approach infinity, we're discussing the process of identifying the value a function gravitates towards as the input (x) starts to lean towards infinity. This method is essential in comprehending how a function behaves when the inputs are extremely large. Several techniques such as direct substitution, factoring, rationalizing, or employing L'Hopital's Rule for indeterminate forms, can be utilized in this process.
| Topic | Problem | Solution |
|---|---|---|
| None | Evaluate the limit as x approaches infinity for t… | Step 1: Divide each term in the function by \(x^2\), the highest power of x in the denominator. The… |