11/21

So the holidays are finally here yay! I'm going to make this a review blog on stuff from chapters 3 and 5

Limits at infinity:

There are simple rules that apply here:

1. Look at the degree of the top and bottom of the fraction
2. If the top is Larger than the bottom, the limit is either infinity or negative infinity
3. If the degrees are equal, the limit is determined by the coefficients
ex: 4x^2+1 / x^2 = 4
4. If the bottom is Larger than the top, the limit is 0
ex: 4x^2 / x^6 = 0

There is a FUDGE method that we learned stating if there is a square root on the top or bottom just take the root of the number and divide the exponent

Taking the derivatives of natural logs:

the derivative of a natural log is 1/recopy x derivative of inside

ex: f(x)= lnx^3
f'(x)= 1/x^3 x 3x2 = 3/x

that should be a brief reminder of what we are up to so enjoy the week off and all!