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This section covers limits and some other precalculus topics.
- is the value that approaches as approaches .
- is the value that approaches as approaches from values of less than .
- is the value that approaches as approaches from values of more than .
- If , then is said to be continuous in .
Let and be real functions. Then:
Squeeze Play Theorem (or Sandwich Theorem)
Suppose is between and for all in the neighborhood of . If and approach some common limit L as approaches , then .
A series converges iff .
The statement is equivalent to: given a positive number , there is a positive number such that .