Yes, you can solve a limit at infinity using a calculator, but all things being equal, it’s better to solve the problem algebraically, because then you have a mathematically airtight answer. For example, with the problem,
![image0.png](https://www.dummies.com/wp-content/uploads/202322.image0.png)
the calculator answer of 0.5 is very convincing, but it’s not mathematically rigorous, so if you stop there, the math police may get you.
Try substitution — always a good idea.
No good. You get ∞ – ∞, which tells you nothing. On to plan B.
Multiply the numerator and denominator by the conjugate of
and simplify.
Now substitution does work.