MATHEMATICAL PHYSIOLOGY LIMITS
SEQUENCES ARE FUNCTIONS OF AN INTEGRAL VARIABLE
THE LIMIT OF A SEQUENCE
A LIMIT IS AN AGREEMENT ABOUT A CRITEREA
CONVERGENCE TO ZERO
CONVERGENCE
THE NOTION OF “INFINITY”
MONOTONIC SEQUENCES
EXAMPLES OF LIMITS OF SEQUENCES
LIMITING BEHAVIOR OF THE GEOMETRIC SEQUENCE
SOME SPECIAL LIMITS
SERIES
THE GEOMETRIC SERIES
PARTIAL SUMS OF THE GEOMETRIC SERIES
SUM OF THE GEOMETRIC SERIES
THE DIFFERENCE BETWEEN CONVERGENCE OF SERIES AND SEQUENCES
TESTS FOR CONVERGENCE
COMPARISON TEST
RATIO TEST
LIMITS OF FUNCTIONS
DIVERGENT
CONVERGENT TO ZERO
CONVERGENT TO A FINITE LIMIT A
THE CONCEPT OF CONTINUITY OF A FUNCTION
CONTINUITY AT A POINT
CONTINUITY ON AN INTERVAL
UNIFORM CONTINUITY
POINTS OF DISCONTINUITY
AT A POINT OF DISCONTINUITY THE LIMIT OF A FUNCTION MAY DEPEND ON THE DIRECTION OF APPROACH
THEOREMS ON CONTINUOUS FUNCTIONS
SOME THEOREMS ON LIMITS
EXAMPLE OF USE OF THEOREMS ON LIMITS
A VERY IMPORTANT LIMIT
THE DERIVATIVE OF f(x)
Email: mikulecky@gems.vcu.edu
Home Page: http://views.vcu.edu/~mikuleck/