Calculus Cheat Sheet
Precise Definition : We say lim f ( x ) = L if
Limit at Infinity : We say lim f ( x ) = L if we
for every > 0 there is a > 0 such that
whenever 0 < x a < then f ( x ) L < .
can make f ( x ) as close to L as w
December 10, 2014
Anything questions on test reviews/tests are fair game to study
Limits to infinity
Infinite limits (vertical asymptotes, the limit of f(x) as xc equals +
or infinity, c=Ver
Related Rate-Word Problems
. Draw a diagram and label the quantities that don’t change with their respective values and quantities
that do change with respect to time as variables.
2. Mathematically specify the rate of change that you are looking for and
f (x h) f (x)
Avg. Rate of change =
, over the interval [x,x +h]
Test 3 Review
3.10 Linear Approximations and Differentials. P255 #s 1-4,11-14,1518,19-22,23-28
4.1Extreme Value Thm: If is f(x) continuous on a closed interval [a,b] then
f(x) has both an absolute max and an absolute min.
How to find: The Absolute max and
REVIEW for FINAL
1. Evaluate each limit. You may use LHospitals rule where applicable. If the limit does
not exist, justify your answer.
sin x x
lim x ln x
2 Find all values of k so that the following function is contin