This class corresponds to MATH 151 at Texas A&M University
Calculus I requires knowledge of the following from the math appendix:
Limit: the value that a function approaches as the input variable approaches some number
If the limits of a value taken from both the left hand and right hand directions are equal, than the limit exists and is equal to L.
If this condition is not met, then the limit does not exist - this is the proof for a nonexistent limit. Note that we are looking for the value that a function approaches, not necessarily the value at the exact point. For example, here, the limit value is not the same as the function value:
Limits of piecewise functions are handled in the same way. Don’t forget that an absolute value function is also a piecewise function:
Make sure that when you write limit statements, everything is clear and formatted properly - don’t drop the limit notation midway through a problem.
If the left hand, right hand, or actual limit of f(x) at a is positive or negative infinity, the function has a vertical asymptote at a.
