Limit Tricks and Function Insights

Your teacher won't tell you this limit trick. The limit of (e to the kx minus

1) over x as x goes to 0 is just k. So for e to the 2x, the answer is 2.

Done. For those crazy x-to-the-fourth equations, just pretend x-squared

is 'u' and solve it like a simple quadratic. Got a rational function? If a factor cancels

top and bottom, it’s a hole. If it stays in the denominator, it’s a vertical

asymptote. For horizontal asymptotes, just compare the biggest exponents. It’s that simple.

These aren't hard, they're just patterns.