When working on limit problems, I found some easy tricks that really help! Here’s a simple list:
Direct Substitution: First, try plugging the value straight into the function. If you don’t get a strange answer (like ), you’re all set!
Factoring: If you run into an unclear result, try to break down (factor) the top (numerator) and bottom (denominator). This often helps you simplify things, so you can cancel out some parts.
Rationalizing: If you see square roots, changing the top or bottom to remove them can make things easier.
L'Hôpital's Rule: If you get stuck with an unclear answer like or , this rule is super helpful! Just find the derivative (slope) of the top and bottom.
Limit Laws: Learn the basic rules for limits—they make solving problems a lot easier!
Using these tricks has really helped me feel less scared about limits and made them easier to handle!
When working on limit problems, I found some easy tricks that really help! Here’s a simple list:
Direct Substitution: First, try plugging the value straight into the function. If you don’t get a strange answer (like ), you’re all set!
Factoring: If you run into an unclear result, try to break down (factor) the top (numerator) and bottom (denominator). This often helps you simplify things, so you can cancel out some parts.
Rationalizing: If you see square roots, changing the top or bottom to remove them can make things easier.
L'Hôpital's Rule: If you get stuck with an unclear answer like or , this rule is super helpful! Just find the derivative (slope) of the top and bottom.
Limit Laws: Learn the basic rules for limits—they make solving problems a lot easier!
Using these tricks has really helped me feel less scared about limits and made them easier to handle!