Home > SparkNotes > Math Study Guides > Functions, Limits, and Continuity >

sparknotes

Functions, Limits, and Continuity


Problems

Problem : Define a function by f (x) = x - 3 for x≠1 and let f (1) = 1 . At which values of x is f (x) continuous? Does f (x) have a limit at x = 1 ? If so, what is this limit?


Problem : Consider the function

f (x) = ,    

defined for x≠ - 1, 0 . Does f (x) have a limit at x = 0 ? If so, what is the limit?


Problem : Compute .