When working on limit problems, here are some common mistakes to watch out for:
Don't Forget to Simplify: Always try to simplify the expression first. If it looks really complicated, you might not see the limit clearly.
Check One-Sided Limits: Some functions act differently when you approach from the left side compared to the right side. Make sure to consider both sides!
Assuming It’s Continuous: Just because a function looks continuous doesn’t mean it is. Check for any breaks or jumps in the graph.
Don't Use Direct Substitution Too Soon: Sometimes, plugging in values directly gives you tricky results like . It's better to use algebra to rearrange the problem first!
By avoiding these common mistakes, you'll find that working with limits can be much easier!
When working on limit problems, here are some common mistakes to watch out for:
Don't Forget to Simplify: Always try to simplify the expression first. If it looks really complicated, you might not see the limit clearly.
Check One-Sided Limits: Some functions act differently when you approach from the left side compared to the right side. Make sure to consider both sides!
Assuming It’s Continuous: Just because a function looks continuous doesn’t mean it is. Check for any breaks or jumps in the graph.
Don't Use Direct Substitution Too Soon: Sometimes, plugging in values directly gives you tricky results like . It's better to use algebra to rearrange the problem first!
By avoiding these common mistakes, you'll find that working with limits can be much easier!